1 Marks Question

Question 11 Mark

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

Answer

$a^2(x+y)+b^2(x+y)+c^2(x+y)$
$=\left(a^2+b^2+c^2\right)(x+y)$ [taking $(x + y)$ 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 1 Marks Question