Question 512 Marks
Evaluate: $(3c - 5d)(4c - 6d)$
Answer$(3c - 5d)(4c - 6d)$
$= 3c (4c - 6d) - 5d(4c - 6d)$
$= 12c^2 - 18cd - 20cd + 30d^2$
$= 12c^2 - 38cd + 30d^2$
View full question & answer→Question 522 Marks
Evaluate: $(c + 5)(c - 3)$
Answer$(c + 5)(c - 3) = c (c - 3) +5 (c - 3)$
$= c^2 - 3c + 5c - 15$
$= c^2 + 2c - 15$
View full question & answer→Question 532 Marks
Copy and complete the following multi-plication:
$4x^3 - 10x^2 + 6x - 8$
$\times 3 + 2x - x^2$
Answer$4x^3 - 10x^2 + 6x - 8$
$\times 3 + 2x - x^2$
$12x^3 - 30x^2 + 18x - 24$
$8x^4 - 20x^3 + 12x^2 - 16x$
$4x^5 + 10x^4 - 6x^3 + 8x^2$
$4x^5 + 18x^4 - 14x^3 - 10x^2 + 2x - 24$
View full question & answer→Question 542 Marks
Copy and complete the following multi-plication:
$3m^2 + 6m - 2n$
$\times 5n - 3m$
Answer$3m^2 + 6m - 2n$
$\times 5n - 3m$
$15m^2n + 30mn - 10n^2 - 9m^3 - 18m^2$
$+ 6mn$
$15m^2n + 36mn - 10n^2 - 9m^3 - 18m^2$
View full question & answer→Question 552 Marks
Copy and complete the following multi-plication:
$2a - b + 3c$
$\times 2a - 4b$
Answer$2a - b + 3c$
$\times 2a - 4b$
$4a2 - 2ab + 6ac$
$- 8ab + 4b^2 - 12bc$
$4a^2 - 10ab + 6ac + 4b^2 - 12bc$
View full question & answer→Question 562 Marks
Copy and complete the following multi-plication:
$a x-b$
$\times 2 a x+2 b^2$
Answer$ax - b$
$\times 2ax + 2b^2$
$2a^2x^2 - 2abx + 2ab^2x - 2b^3$
View full question & answer→Question 572 Marks
Copy and complete the following multi-plication:
$a + b$
$\times a + b$
Answer$a + b$
$\times a + b $
$a^2 + ab$
$ab + b^2$
$a^2 + 2ab + b^2$
View full question & answer→Question 582 Marks
Copy and complete the following multi-plication:
$3xy - 2x^2 - 6x$
$\times -5x^2y$
Answer$3xy - 2x^2 - 6x$
$\times -5x^2y$
$-15x^3y^2 + 10x^4y + 30x^3y$
View full question & answer→Question 592 Marks
Copy and complete the following multi-plication:
$9x + 5y$
$\times - 3xy$
Answer$9x + 5y$
$\times - 3xy$
$- 27x^2y + 15xy^2$
View full question & answer→Question 602 Marks
Copy and complete the following multi-plication:
3a + 2b
× - 3xy
Answer3a + 2b
× - 3xy
- 9axy - 6bxy
View full question & answer→Question 612 Marks
Multiply: $4a + 5b$ and $4a - 5b$
AnswerProduct of $4a + 5b$ and $4a - 5b$
$= 16a^2 - 25b^2$
$4a + 5b$
$\times 4a - 5b$
$16a^2 + 20ab$
$- 20ab - 25b^2$
$16a^2 - 25b^2$
View full question & answer→Question 622 Marks
Multiply: $6a - 5b$ and $- 2a$
AnswerProduct of $6a - 5b$ and $- 2a$
$= -2a (6a - 5b)$
$= - 2a \times 6a + (- 2a) \times (- 5b)$
$= - 12a^2 + 10ab$
View full question & answer→Question 632 Marks
Multiply: $5x + 2y$ and $3xy$
AnswerProduct of $5x + 2y$ and $3xy$
$= 3xy (5x + 2y)$
$= 3xy \times 5x + 3xy \times 2y$
$= 15x^2y + 6xy^2$
View full question & answer→Question 642 Marks
Multiply: $5, 3a$ and $2ab^2$
AnswerProduct of $5, 3a$ and $2ab^2$
$= 5 \times 3a \times 2ab^2$
$= 5 \times 3 \times 2 \times a \times ab^2$
$= 30a^2b^2$
View full question & answer→Question 652 Marks
Multiply: $3x, 5x^2y$ and $2y$
AnswerProduct of $3x, 5x^2y$ and $2y$
$= 3x + 5x^2y \times 2y$
$= 3 \times 5 \times 2 \times x \times x^2 \times y \times y$
$= 30x^3y^2$
View full question & answer→Question 662 Marks
Subtract the second expression from the first:
$a^2 + ab + c^2, a^2 - d^2$
Answer$(a^2 + ab + c^2) - (a^2 - d^2 )$
$= a^2 + ab + c^2 - a^2 + d^2$
$= a^2 - a^2 + ab + c^2 + d^2$
$= ab + c^2 + d^2$
View full question & answer→Question 672 Marks
Subtract the second expression from the first:
$10abc, 2a^2 + 2abc - 4b^2$
Answer$10abc - (2a^2 + 2abc - 4b^2 )$
$= 10 abc - 2a^2 - 2abc + 4b^2$
$= 10 abc - 2 abc - 2a^2 + 4b^2$
$= 8abc - 2a^2 + 4b^2$
View full question & answer→Question 682 Marks
Subtract the second expression from the first:
$4pq - 6p^2 - 2q^2 , 9p^2$
Answer$(4pq - 6p^2 - 2q^2) - (9p^2)$
$= 4pq - 6p^2 - 2q^2 - 9p^2$
$= 4pq - 15p^2 - 2q^2$
View full question & answer→Question 692 Marks
Subtract the second expression from the first:
$3a^2 - 8ab - 2b^2 , 3a^2 - 4ab + 6b^2$
Answer$(3a^2 - 8ab - 2b^2) - (3a^2 - 4ab + 6b^2 )$
$= 3a^2 - 8ab - 2b^2 - 3a^2 + 4ab - 6b^2$
$= 3a^2 - 3a^2 - 2b^2 - 6b^2 - 8ab + 4ab$
$= 0 - 8b^2 - 4ab$
$= - 4ab - 8b^2$
View full question & answer→Question 702 Marks
Subtract the second expression from the first:
x + 2y + z, - x - y - 3z
Answer(x + 2y + z) - (- x - y - 3z)
= x + 2y + z + x + y+ 3z
= x + x + 2y + y + z + 3z
= 2x + 3y + 4z
View full question & answer→Question 712 Marks
Subtract the second expression from the first:
$a^3 - 1 + a, 3a - 2a^2$
Answer$(a^3 - 1 + a) - (3a - 2a^2)$
$= a^3 - 1 + a - 3a + 2a^2$
$= a^3 + 2a^2 - 2a - 1$
View full question & answer→Question 722 Marks
Subtract the second expression from the first:
5a + b, - 6b + 2a
Answer(5a + b) - (- 6b + 2a)
= 5a + b + 6b - 2a
= 5a - 2a + b + 6b
= 3a + 7b
View full question & answer→Question 732 Marks
Subtract the second expression from the first:
- 2b + 2c, b + 3c
Answer(- 2b + 2c) + (b + 3c)
= - 2b + 2c - b - 3c
= - 2b - b + 2c - 3c
= - 3b - c
View full question & answer→Question 742 Marks
Subtract the second expression from the first:
2a + b, a + b
Answer(2a + b) - (a + b)
= 2a + b - a - b
= 2a - a + b - b
= a + 0 = a
View full question & answer→Question 752 Marks
Find the sum of: $a^2+b^2+2 a b, 2 b^2+c^2+2 b c$ and $4 c^2-a^2+2 a c$
Answer$a^2 + b^2 + 2ab, 2b^2 + c^2 + 2bc and 4c^2 -a^2 + 2ac$
$a^2 + b^2 + 2ab + 2b^2 + c^2 + 2bc + 4c^2 -a^2 + 2ac$
$= a^2 - a^2 + b^2 + 2b^2 + c^2 + 4c^2 + 2ab + 2bc + 2ac$
$= 3b^2 + 5c^2 + 2ab + 2bc + 2ac$
View full question & answer→Question 762 Marks
Find the sum of: $9x^2 – 6x + 7, 5 – 4x$ and $6 – 3x^2$
Answer$9x^2 – 6x + 7, 5 – 4x$ and $6 – 3x^2$
$9x^2 – 6x + 7 + 5 – 4x + 6 – 3x^2$
$= 9x^2 - 3x^2 - 6x - 4x + 7 + 5 + 6$
$= 6x^2 - 10x + 18$
View full question & answer→Question 772 Marks
Find the sum of: $4x^2+ 8xy – 2y^2$ and $8xy – 5y^2 + x^2$
Answer$4x^2+ 8xy – 2y^2 and 8xy – 5y^2 + x^2$
$4x^2+ 8xy – 2y^2 + 8xy – 5y^2 + x^2$
$= 4x^2 + x^2 + 8xy + 8xy - 2y^2 - 5y^2$
$= 5x^2 + 16xy - 7y^2$
View full question & answer→Question 782 Marks
Find the sum of: 3a + 5b + 2c, 2a + 3b-c and a + b + c.
Answer3a + 5b + 2c, 2a + 3b-c and a + b + c.
3a + 5b + 2c + 2a + 3b - c + a + b + c.
= 6a + 9b + 3c - c
= 6a + 9b + 2c
View full question & answer→Question 792 Marks
Find the sum of: 3x + 8y + 7z, 6y + 4z- 2x and 3y – 4x + 6z
Answer3x + 8y + 7z; 6y + 4z- 2x and 3y – 4x + 6z
3x + 8y + 7z + 6y + 4z - 2x + 3y – 4x + 6z
= 3x - 6x + 17y + 17z
= - 3x + 17y + 17z
View full question & answer→Question 802 Marks
Add : 4 + x, 5 – 2x and 6x
Answer4 + x, 5 – 2x and 6x
= x - 2x + 6x + 4 + 5
= 7x - 2x + 9
= 5x + 9
View full question & answer→Question 812 Marks
Answera + b and 2a + 3b
= a + b + 2a + 3b
= a + 2a + b + 3b = 3a + 4b
View full question & answer→Question 822 Marks
Simplify: – 16am + 4mx + 4am – 15mx + 5am
Answer– 16am + 4mx + 4am – 15mx + 5am
= - 16am + 4am + 5am + 4mx - 15mx
= - 16am + 9am + 4mx - 15mx
= - 7 am - 11 mx
View full question & answer→Question 832 Marks
Simplify: $-5ax^2 + 7ax^2 – 12ax^2$
Answer$-5ax^2 + 7ax^2 – 12ax^2$
$= - 5ax^2 - 12ax^2 + 7ax^2$
$= - 17ax^2 + 7ax^2 = - 10ax^2$
View full question & answer→Question 842 Marks
Simplify: $7n^2 – 9n^2 + 3n^2$
Answer$7n^2 – 9n^2 + 3n^2$
$= 7n^2 + 3n^2 – 9n^2$
$= 10n^2 - 9n^2 = n^2$
View full question & answer→Question 852 Marks
Simplify: 2(x - y) - (x - 8)
Answer2(x - y) - (x - 8)
⇒ 2x - 2y - x + 8
⇒ 2x - x - 2y + 8
⇒ x - 2y + 8
View full question & answer→Question 862 Marks
Simplify: 2x - y + 5 - (x - y)
Answer2x - y + 5 - (x - y)
⇒ 2x - y + 5 - (x - y)
⇒ 2x - x + 5
⇒ x + 5
View full question & answer→Question 872 Marks
Simplify: - 2m + 5 + 4(m - 3)
Answer- 2m + 5 + 4(m - 3)
⇒ - 2m + 5 + 4m - 12
⇒ - 2m + 4m + 5 - 12
⇒ 2m - 7
View full question & answer→Question 882 Marks
Simplify: 4x + 7y - (5y - 8) - 2x
Answer4x + 7y - (5y - 8) - 2x
⇒ 4x + 7y - 5y + 8 - 2x
⇒ 4x - 2x + 7y - 5y + 8
⇒ 2x + 2y + 8
View full question & answer→Question 892 Marks
Simplify: x - (x - y) - y - (y - x)
Answerx - (x - y) - y - (y - x)
⇒ x - x + y - y - y + x
⇒ 2x - x - 2y + y
⇒ x - y
View full question & answer→Question 902 Marks
Simplify: - (7 + 6x) - 7(x + 2)
Answer- (7 + 6x) - 7(x + 2)
⇒ - 7 - 6x - 7x - 14
⇒ - 7x - 6x - 7 - 14
⇒ -13 x - 21
View full question & answer→Question 912 Marks
Simplify: 3(4y - 10) 2(y - 1)
Answer3(4y - 10) 2(y - 1)
⇒ 12y - 30 + 2y - 2
⇒ 12y + 2y - 30 - 2
⇒ 14y - 32
View full question & answer→Question 922 Marks
Subtract: $4p + p^2$ from $3p^2 - 8p$
Answer$4p + p^2$ from $3p^2 - 8p$
$= (3p^2 - 8p) - (4p + p^2)$
$= 3p^2 - 8p - 4p - p^2$
$= 2p^2 - 12p$
View full question & answer→Question 932 Marks
Subtract: - 5a - 2b from b + 6c
Answer- 5a - 2b from b + 6c
= (b + 6c) - (- 5a - 2b)
= b + 6c + 5a + 2b
= 5a + 3b + 6c
View full question & answer→Question 942 Marks
Subtract: - 8c from c + 3d
Answer- 8c from c + 3d
= (c + 3d) - (- 8c)
= c + 3d + 8c
= 9c + 3d
View full question & answer→Question 952 Marks
Answer4x from 8 - x
= (8 - x) - 4x
= 8 - x - 4x
= 8 - 5x
View full question & answer→Question 962 Marks
In $-5x^3y^2z^4$ ; write the coefficient of $-5xy^2z$. Also, write the degree of the given algebraic expression.
Answer$-5x^3y^2z^4$
Co-efficient of $-5 x y^2 z$ is $x^2 z^3$
Degree of the given expression is $3+2+4=9$
View full question & answer→Question 972 Marks
In $-5 x^3 y^2 z^4$; write the coefficient of $-x y^2$. Also, write the degree of the given algebraic expression.
Answer$-5 x^3 y^2 z^4$
Co-efficient of $-x y^2$ is $5 x^2 z^4$
Degree of the given expression is $3+2+4=9$
View full question & answer→Question 982 Marks
In $-5 x^3 y^2 z^4$; write the coefficient of $x^3 y$. Also, write the degree of the given algebraic expression.
Answer$-5 x^3 y^2 z^4$
Co-efficient of $x^3 y$ is $-5 y z^4$
Degree of the given expression is $3+2+4=9$
View full question & answer→Question 992 Marks
In $-5 x^3 y^2 z^4$; write the coefficient of $y z^2$. Also, write the degree of the given algebraic expression.
Answer$-5x^3y^2z^4$
Co-efficient of $y z^2$ is $-5 x^3 y z^2$
Degree of the given expression is $3+2+4=9$
View full question & answer→Question 1002 Marks
In $-5 x^3 y^2 z^4$; write the coefficient of $y^2$ Also, write the degree of the given algebraic expression.
Answer$-5 x^3 y^2 z^4$
Co-efficient of $y^2$ is $-5 x^3 z^4$
Degree of the given expression is $3+2+4=9$
View full question & answer→