Question

$(3c^{2} + 2d)(-5c^{2} + d)$
select all of the partial products for the multiplication problem above.
$2d^{2}$
$3cd^{3}$
$-15c^{4}$
$-10c^{2}d$
$-15c^{2}$
$3c^{2}d$
done

Explanation:

Step1: Multiply first terms

$3c^2 \times (-5c^2) = -15c^4$

Step2: Multiply outer terms

$3c^2 \times d = 3c^2d$

Step3: Multiply inner terms

$2d \times (-5c^2) = -10c^2d$

Step4: Multiply last terms

$2d \times d = 2d^2$

Answer:

• $2d^2$
• $-15c^4$
• $-10c^2 d$
• $3c^2 d$