Question

Verify (m+n)(m^2-mn+n^2)=m^3+n^3​

Answer 1

Step-by-step explanation:

LHS:

m(m^2-mn+n^2)+n(m^2-mn+n^2)

=m^3-m^2n+mn^2+m^2n-mn^2+n^3

Rearranging the terms, we get

=m^3-m^2n+m^2n+mn^2-mn^2+n^3

Therefore m^2n and mn^2 get cancelled, we are now left with

=m^3+n^3= RHS

LHS = RHS

Hence, Verified

Hope it helps :))))))