Question

a^2+ab(1+b)+b^3 Factorize

Answer 1

Given : a

2

+ab(b+1)+b

3

By multiplying the terms

a

2

+ab(b+1)+b

3

=a

2

+ab

2

+ab+b

3

We can further write it as

a

2

+ab(b+1)+b

3

=a

2

+ab+ab

2

+b

3

By taking the common terms out

a

2

+ab(b+1)+b

3

=a(a+b)+b

2

(a+b)

So we get,

a

2

+ab(b+1)+b

3

=(a+b

2

)(a+b)

Answer 2

Answer:

(a+b) (a+b²)

Step-by-step explanation:

1. a²+ab+ab²+b³

2. a(a+b) +b²(a+b)

3. (a+b) (a+b²)