Question

Factorized and Expanded form of (a-b)^3 , (a+b)^3 , (a^2 - b^2) , (a^2 + b^2) , (a^3+b^3) , (a^3-b^3) .

Answer 1

Answer:

1. (a+b) ^3= a^3+b^3+3ab(a+b)

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

3.(a^2+b^2)= if we take identity; (a+b) ^2

So,, (a+b)^2= a^2+b^2+2ab

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

Or we can take identity; (a-b) ^2

So,, (a-b)^2= a^2+b^2-2ab

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

4.(a^3+b^3)= (a+b)(a^2+b^2-ab)

5.(a^3-b^3)= (a-b)(a^2+b^2+ab)

Here's your answer