Question

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

Answer 1

Step-by-step explanation:

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

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Answer 2

Answer:

a+ab+a^2b^2+a^2b^3

=a(1+b)+a^2b^2(1+b)

=(1+b)(a+a^2b^2)

=(1+b)a(1+ab^2)

=a(1+b)(1+ab^2)