Question

State whether True or False.

Multiply: $5p^2+25pq+4q^2$ by $2p^2-2pq+3q^2$.

The answer is $10p^4+40p^{3}q-27p^2{q}^2+67p{q}^3-12q^4$.

• A. True
• B. False

Answer 1

The correct option is A True

$(5p^2+25pq+4q^2)\times (2p^2-2pq+3q^2)$
$=5p^2(2p^2-2pq+3q^2)+25pq(2p^2-2pq+3q^2)+4q^2(2p^2-2pq+3q^2)$
$=10p^4-10p^{3}q+15p^2{q}^2+50p^{3}q-50p^2{q}^2+75p{q}^3+8p^2{q}^2-8p{q}^3+12q^4$
$=10p^4+40p^{3}q-27p^2{q}^2+67p{q}^3-12q^4$