Question

Factorise: $2ax+2bx-ay-by$

• A. (a + b) (x + y)
• B. (a - b) (x - y)
• C. (a + b) (x - y)
• D. (a - b) (x + y)

Answer 1

The correct option is C

(a + b) (x - y)

Consider the expression,

$2ax+2bx-ay-by$....(i)

Taking $2x$ common from first two terms and $-y$ common from last two terms of expression (i), we get

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

Taking $(a+b)$ common from expression (ii), we get

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

$\Rightarrow$ $2ax+2bx-ay-by$=$(a+b)(2x-y)$

Therefore, the factors of $2ax+2bx-ay-by$ are $(a+b)$ and $(2x-y)$.