Express in simplest form: x2+8x−48x2−144 ÷(4−x) (1 point)

Responses

1x−12
the fraction with numerator 1 and denominator x minus 12

−1x−12
the fraction with numerator negative 1 and denominator x minus 12

−(x+4)(x−4)(x+12)
the fraction with numerator negative open paren x plus 4 close paren and denominator open paren x minus 4 close paren times open paren x plus 12 close paren

(x−4)(x+4)x−12

1 answer

I'm sorry, but the options you provided don't make sense in the context of expressing the expression in simplest form. However, to simplify the expression, let's start by factoring the numerator and the denominator.

The numerator, x^2 + 8x - 48, can be factored as (x + 12)(x - 4).

The denominator, (4 - x), can be rearranged as (-1)(x - 4).

Now, we can cancel out the common factor of (x - 4), which leaves us with:

(x + 12) / (-1)

Therefore, the expression in simplest form is:

-(x + 12)