Question

4. Factorise:
(i) a + ab + a²b² + a²b³​

Answer 1

Answer:

a+ab+a+b+a+b

=ab......

Answer 2

Answer:

We know the identity a

2

−b

2

=(a+b)(a−b)

Using the above identity, the given expressiona

2

−b

2

−a+b can be factorised as follows:

a

2

−b

2

−a+b=[(a+b)(a−b)]−1(a−b)=(a−b)(a+b−1)

Hence, a

2

−b

2

−a+b=(a−b)(a+b−1)