Question

use the area model to find the product $(-8b + 3)(-8b - 3)$. first, find the partial products. now, write the product. simplify your answer. $(-8b + 3)(-8b - 3) = $

Explanation:

Step1: Calculate first partial product (yellow)

Multiply \(-8b\) and \(-8b\): \((-8b) \times (-8b) = 64b^2\)

Step2: Calculate second partial product (teal)

Multiply \(-8b\) and \(-3\): \((-8b) \times (-3) = 24b\)

Step3: Calculate third partial product (orange)

Multiply \(3\) and \(-8b\): \(3 \times (-8b) = -24b\)

Step4: Calculate fourth partial product (pink)

Multiply \(3\) and \(-3\): \(3 \times (-3) = -9\)

Step5: Sum all partial products

Add the four partial products: \(64b^2 + 24b - 24b - 9\). The \(24b\) and \(-24b\) cancel out, leaving \(64b^2 - 9\).

Answer:

\(64b^2 - 9\)