The value of $\left(-27 x^2 y^2\right) \div(-9 x y)$ is:
- A$3xy$
- B$-3xy$
- C$-3x$
- ✓$3x$
Answer: D.
View full solution →Question types
Algebraic Expressions, Identities and Factorisation question types
323 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
323
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4
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Sample Questions
Algebraic Expressions, Identities and Factorisation questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Product of $6a^2- 7b + 5ab$ and $2ab$ is:
- A$ 12 a^3 b-14 a b^2+10 a b $
- ✓$ 12 a^3 b-14 a b^2+10 a^2 b^2 $
- C$ 6 a^2-7 b+7 a b $
- D$ 12 a^2 b-7 a b^2+10 a b $
Answer: B.
View full solution →Sum of $a - b + ab, b + c - bc$ and $c - a - ac$ is:
- ✓$2c + ab - ac - bc$
- B$2c - ab - ac - bc$
- C$2c + ab + ac + bc$
- D$2c - ab + ac + bc$
Answer: A.
View full solution →Coefficient of ? in the term $-\frac{\text{y}}{3}$ is:
- A$-1$
- B$-3$
- ✓$-\frac{1}{3}$
- D$\frac{1}{3}$
Answer: C.
View full solution →Number of factors of $(a + b) 2$ is:
- A$4$
- B$3$
- ✓$2$
- D$1$
Answer: C.
View full solution →Factorise the following, using the identity
$a^2- 2ab + b^2= (a - b)^2$.
$x^2- 10x + 25$
View full solution →$a^2- 2ab + b^2= (a - b)^2$.
$x^2- 10x + 25$
Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$a^2x^2+ 2abxy + b^2y^2$
View full solution →$a^2x^2+ 2abxy + b^2y^2$
Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$\frac{1}{36}\text{a}^2\text{b}^2-\frac{16}{49}\text{b}^2\text{c}^2$
View full solution →$\frac{1}{36}\text{a}^2\text{b}^2-\frac{16}{49}\text{b}^2\text{c}^2$
Expand the following, using suitable identities.$\Big(\frac{2\text{a}}{3}+\frac{\text{b}}{3}\Big)\Big(\frac{2\text{a}}{3}-\frac{\text{b}}{3}\Big)$
View full solution →Subtract: $-3p2 + 3pq + 3px$ from $3p(-p - a - r)$
View full solution →What should be added to $4c (-a + b + c)$ to obtain $3a(a + b + c) - 2b(a – b + c)?$
View full solution →Verify the following: $(a + b)(a + b)(a + b) = a^3+ 3a^2b + 3ab^2+ b^3$
View full solution →Multiply the following: $(2x - 2y - 3), (x + y + 5)$
View full solution →The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
Find the length of the side of the given square if area of the square is $625$ square units and then find the value of $x. $
View full solution →$103^2- 102^2= \_\_\_\_\_\_\_\_ × (103 - 102) = \_\_\_\_\_\_\_\_\_.$
View full solution →On dividing $\frac{\text{p}}{3}$ by $\frac{3}{\text{p}}$, the quotient is $9.$
View full solution →$a(b + c) = ax$ ____ $\times ax$ _____.
View full solution →Volume of a rectangular box with $l = b = h = 2x$ is _________.
View full solution →Factorise the expressions and divide them as directed:
$\left(2 x^3-12 x^2+16 x\right) \div(x-2)(x-4)$
View full solution →$\left(2 x^3-12 x^2+16 x\right) \div(x-2)(x-4)$
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