Question

Factor completely: 3x^2-48The equation is on the second question. I need help on this?

Answer 1

`3(x+4)(x-4)`

Step-by-step explanation

Given:

`3x^2-48`

48 is a multiple of 3:

`(48)/(3)=16`

Thus, if we get 3 as a common factor of the expression we would get:

`3(x^2-16)`

Then, the expression inside the parenthesis is a difference of squares. The difference of squares is factorized as follows:

`(x^2-a^2)=(x+a)(x-a)`

The square root of 16 is 4:

`√(16)=4`

Thus, the expression given using the rule above would be:

`3(x+4)(x-4)`