Question

Factor completely x^2 − 36. (1 point)

Answer 1

Answer: $(x-6)(x+6)$

Step-by-step explanation:

We observe that $x^2 - 36$ has the "Difference of squares" form. Then, we need to apply:

$(a-b)(a+b)=a^2 - b^2$

Since:

$x^2=x*x\\\\36=6*6=6^2$

We can rewrite the polynomial:

 $x^2 - 6^2$

We  can identify that:

$a=x\\b=6$

Knowing this, we can factor it completely. Then, we get:

$x^2 - 6^2=(x-6)(x+6)$