Question

The factorisation of $2(x+y{)}^2-6(x+y)$ is

• A. 2(x-y)(x+y-3)
• B. 2(x+y)(x-y-3)
• C. 2(x+y)(x+y+3)
• D. 2(x+y)(x+y-3)

Answer 1

The correct option is D 2(x+y)(x+y-3)

The given expression is
$2(x+y{)}^2-6(x+y)$

Taking out 2(x+y) common we get,
$2(x+y)\left[\right(x+y)-3]$
= $2(x+y)(x+y-3)$