Question

factorise 2a^2b+a+2ab^2+b

Answer 1

Answer:

(a-b)(a+2b+2)

Rewrite the expression as a2 -b2 +ab -b2 +2a -2b. Now pair the terms as (a2 -b2) +(ab -b2) +(2a -2b)

= (a-b)(a+b) +b(a-b) +2(a-b)

=(a-b)( a+b +b+2)

=(a-b)(a+2b +2)