Question

8p^3-27q^3+r^3+18pqr Factorize using identities.

Answer 1

Hi. Hope this helps.

$8p^3=(2p)^3$, $-27q^3=(-3q)^3$, $18pqr=-3* 2p* (-3q)* r$

Therefore, factorization is

$8p^3-27q^3+r^3+18pqr=(2p-3q+r)(4p^2+9q^2+r^2+6pq+3qr-2rp)$