Question

Simplify completely x2-3x-54 over x2-18+81 multiplied by x2+12x+36 over x+6

Answer 1

Step-by-step explanation:

First factor all expressions:

Numerator:

(x^2-3x-54)*(x^2+12x+36)

=(x-9)(x+6)*(x+6)(x+6)

=(x-9)(x+6)^3

Denominator:

(x^2-18+81)*(x+6)

=(x-9)(x-9)*(x+6)

We see clearly that the highlighted terms are common factors between the numerator and denominator, and can be cancelled from each PROVIDED that x does not equal 9, nor x does not equal -6.

Thus the resulting simplified expression is

(x+6)^2/(x-9)  provided x does not equal 9 nor -6.

Answer 2

Answer:   3x^2+9x+45 is the answer