Question

find the product.

1. (7m + 8n)(7m − 8n)

Explanation:

Step1: Identify the formula

This is a difference of squares: \((a + b)(a - b) = a^2 - b^2\). Here, \(a = 7m\) and \(b = 8n\).

Step2: Apply the formula

Calculate \(a^2\) and \(b^2\):
\(a^2=(7m)^2 = 49m^2\)
\(b^2=(8n)^2 = 64n^2\)
Substitute into the formula: \((7m + 8n)(7m - 8n)=49m^2 - 64n^2\)

Answer:

\(49m^2 - 64n^2\)