Question

Factorise $a^2+7a+10$ + pa + 6p

• A. 1
• B. a+1
• C. 2
• D. a+2

Answer 1

The correct option is A

1

$a^2+7a+10+pa+5p$
= $a^2+5a+2a+10+pa+5p$ ( Factorising $a^2+7a+10$)
= $a(a+5)+2(a+5)+pa+5p$
= $(a+2)(a+5)+pa+5p$
= $(a+2)(a+5)+p(a+5)$
= $(a+5)(a+2+p)$