Simplify the expression (a+b)^3 - (a-b)^3 (a+b)^2 + (a-b)^2 to its simplest form.

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Simplify the expression

\dfrac{(a+b)^3 - (a-b)^3}{(a+b)^2 + (a-b)^2}

to its simplest form. (a)

3b

(b)

\displaystyle \frac{b(3a^{2}-b^{2})}{a^{2}+b^{2}}

(c)

\displaystyle \frac{b(3a^{2}+b^{2})}{a^{2}}

(d)

\displaystyle \frac{b(3a^{2}+b^{2})}{a^{2}+b^{2}}