Question

Factorize 16(m+n)^3+16(m+n)^2

Answer 1

Explanation

16(m+n)^3 + 16(m+n)^2

= 16 {m^3 + n^3 + 3mn(m+n)} + 16 {m^2 + n^2 + 2mn}

= 16m^3 + 16n^3 + 48m^2n + 48mn^2 + 16 m^2 + 16n^2 + 32mn

or simply you can write,

16 (m+n)^2 {(m+n)+1}