Question

a 2-2ab+b2 = _________ a) (a-b)2 b) (a+b)2 c) (a-b)3 d) (a+b)3​

Answer 1

Answer:

Product of (a+b)(a

2

+2ab+b

2

)

⇒a(a

2

+2ab+b

2

)+b(a

2

+2ab+b

2

)

⇒a

3

+2a

2

b+ab

2

+a

2

b+2ab

2

+b

3

⇒a

3

+b

3

+3a

2

b+3ab

2

=(a+b)

3

Hence, the answer is (a+b)

3

.