Question

question 8 of 10, step 1 of 1
find the product of the binomial factors using the appropriate special product (difference of two squares, square of a binomial sum, or square of a binomial difference).
$(x - 60)^2$
answer

Explanation:

Step1: Recall square of binomial difference formula

The formula for the square of a binomial difference is $(a - b)^2 = a^2 - 2ab + b^2$. Here, $a = x$ and $b = 60$.

Step2: Substitute values into the formula

Substitute $a=x$ and $b=60$ into the formula:

$$\begin{align*} (x - 60)^2 &= x^2 - 2(x)(60) + 60^2 \end{align*}$$

Step3: Calculate each term

Compute the products and square:
$2(x)(60) = 120x$, $60^2 = 3600$

Answer:

$x^2 - 120x + 3600$