Solve The Following Question.1MARKS

Question 11 Mark

Factorize of the following algebraic expression:
$a^2(x+y)+b^2(x+y)+c^2(x+y)$

Answer

$a^2(x+y)+b^2(x+y)+c^2(x+y)$
$=\left(a^2+b^2+c^2\right)(x+y)[\text { taking }(x+y) \text { as the common the factor] }$

Question 21 Mark

Factorize of the following algebraic expressions:2r(y - x) + s(x - y)

Answer

2r(y - x) + s(x - y)= 2r(y -x) - s(y - x) [since, (x - y) = (y -x)]
= (2r - s)(y - x) [taking (y - x) as the common factor]

Question 31 Mark

Factorize of the following algebraic expression:
$(x-y)^2+(x-y)$

Answer

$(x-y)^2+(x-y)=(x-y)(x-y)+(x-y)[$ taking $(x-y)$ as the common factor $]=(x-y+1)(x-y)$

Question 41 Mark

Solve:
$x^3-x$

Answer

$x^3-x=x\left(x^2-1\right)=x(x-1)(x+1)$

Question 51 Mark

Factorize of the following algebraic expressions:
6x(2x - y) + 7y(2x - y)

Answer

6x(2x - y) + 7y(2x - y)
= (6x +7y) (2x -y) (taking (2x - y) as common factor).

Question 61 Mark

Factorize of the following algebraic expressions:
3a(x - 2y) - b(x - 2y)

Answer

3a(x - 2y) - b(x - 2y)
= (3a - b)(x - 2y) [taking (x - 2y) as the common factor]

Question 71 Mark

Factorize of the following algebraic expressions:7a(2x - 3) + 3b(2x - 3)

Answer

7a(2x - 3) + 3b(2x - 3)= (7a + 3b)(2x.-3) [taking (2x.-3) as the coomon factor]

Maths Solve The Following Question.1MARKS