Question

Factor completely x^2 − 36. (1 point)

Answer 1

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

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)`