Question

use the area model to find the product $(-3p - 11)(2p - 2)$. first, find the partial products. now, write the product. simplify your answer. $(-3p - 11)(2p - 2) = \square$

Explanation:

Step1: Find partial products

• Multiply \(-3p\) and \(2p\): \(-3p\times2p = -6p^2\)
• Multiply \(-3p\) and \(-2\): \(-3p\times(-2)=6p\)
• Multiply \(-11\) and \(2p\): \(-11\times2p=-22p\)
• Multiply \(-11\) and \(-2\): \(-11\times(-2) = 22\)

Step2: Combine like terms

Add the partial products: \(-6p^2+6p - 22p+22\)
Combine \(6p\) and \(-22p\): \(6p-22p=-16p\)
So the expression becomes \(-6p^2-16p + 22\)

Answer:

\(-6p^2-16p + 22\)