Question

find the product. write your answer in descending order with respect to the power of h
$(8h - 4n)^2$
$64h^2$

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 8h\) and \(b = 4n\).

Step2: Calculate \(a^2\)

\(a^2=(8h)^2 = 64h^2\)

Step3: Calculate \(-2ab\)

\(-2ab=-2\times(8h)\times(4n)=-64hn\)

Step4: Calculate \(b^2\)

\(b^2=(4n)^2 = 16n^2\)

Step5: Combine the terms

\((8h - 4n)^2=64h^2-64hn + 16n^2\)

Answer:

\(64h^2-64hn + 16n^2\)