[2 Mark Question Answer]

Questions · Page 2 of 2

Question 512 Marks

Factorise : $6xy(a^2 + b^2) + 8yz(a^2 + b^2) -10xz(a^2 + b^2)$

Answer

$6xy(a^2 + b^2) + 8yz(a^2 + b^2) -10xz(a^2 + b^2)$
$= \text{H.C.F.}$ of $6, 8, 10 = 2 ,$ then
$2(a^2 + b^2) (3xy + 4yz - 5xz)$

Question 522 Marks

Factorise : $(a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)^2$

Answer

$(a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)^2$
$= (a + 2b) (3a + b - a - b + a + 2b)$
$= (a + 2b) (3a + 2b)$

Question 532 Marks

Factorise : $4x(3x - 2y) - 2y(3x - 2y)$

Answer

$4x(3x - 2y) - 2y(3x - 2y)$
$= (3x - 2y) (4x - 2y)= (3x - 2y) \times 2(2x - y)$
$= 2(3x - 2y) (2x - y)$

Question 542 Marks

Factorise : $(x + y)(a + b) + (x - y)(a + b)$

Answer

$(x + y)(a + b) + (x - y)(a + b)$
$= (a+b) (x + y + x - y)= (a + b) (2x)$
$= 2x (a + b)$

[2 Mark Question Answer] - Page 2 - MATHS STD 8 Questions - Vidyadip

MATHS [2 Mark Question Answer]