Question

use the area model to find the product $(-2x + 5)(-2x - 5)$. first, find the partial products.
chart: top labels -2x, -5; side labels -2x, 5; cells with 4x², -10x, 10x, -25
now, write the product.
$(-2x + 5)(-2x - 5) = \boxed{\quad}$

Explanation:

Step1: Sum the partial products

The partial products are \(4x^2\), \(-10x\), \(10x\), and \(-25\). So we add them together: \(4x^2 + (-10x) + 10x + (-25)\)

Step2: Simplify the like terms

The \(-10x\) and \(10x\) are like terms and they cancel each other out (\(-10x + 10x = 0\)). So we are left with \(4x^2 - 25\)

Answer:

\(4x^2 - 25\)