What is the product of these binomials?

A.
B.
C.
D.

Ask by Tran Hall. in the United States

Jan 23,2025

Question

What is the product of these binomials? $$ (x-6)(x+2)= $$ A. $$ x^{2}-4 x-12 $$ B. $$ x^{2}-4 x-4 $$ C. $$ x^{2}-8 x-4 $$ D. $$ x^{2}-8 x-12 $$

UpStudy AI · Accepted Answer

To find the product of the binomials $$(x - 6)(x + 2)$$, you can use the distributive property (also known as the FOIL method for binomials):

$$
\begin{align*}
(x - 6)(x + 2) &= x \cdot x + x \cdot 2 - 6 \cdot x - 6 \cdot 2 \
&= x^2 + 2x - 6x - 12 \
&= x^2 - 4x - 12
\end{align*}
$$

So, the simplified product is:

$$
x^2 - 4x - 12
$$

**Answer:**  
A. $$ x^{2}-4 x-12 $$
The product is $$ x^{2}-4 x-12 $$, so the correct answer is A.

What is the product of these binomials?

A.
B.
C.
D.