m3-n3-m(m2-n2) + n(m-n)2 = কত?

A nm(n-m)

B mn(n + m)2

C nm(m + n)

D mn(m - n)

Solution

Correct Answer: Option D

m3-n3-m(m2-n2) + n(m-n)2 
= (m−n)(m²+mn+n²)−m(m+n)(m−n)+n(m-n)(m-n)
= (m − n) {(m² + mn+n²)-m(m +n)+n(m−n)}
= (m-n) (m² + mn + n²-m²-mn + mn -n²)
= (m-n) mn

Practice More Questions on Our App!

Download our app for free and access thousands of MCQ questions with detailed solutions