Fully simplify. Write in factored form.

Question

8x^2+88x^3+80x^2/5x^2+50x

Answer 1

8x^2 + 88x^3 + 80x^2 / 5x^2 + 50x

Factor out a common factor in the numerator of 8x^2 + 88x^3 + 80x^2:

8x^2(1 + 11x + 10) / 5x^2 + 50x

Multiply out the binomial in the numerator:

8x^2(11x^2 + 11x + 10) / 5x^2 + 50x

Factor out a common factor in the denominator of 5x^2 + 50x:

8x^2(11x^2 + 11x + 10) / 5x(x + 10)

Therefore, the fully simplified expression in factored form is:

8x^2(11x^2 + 11x + 10) / 5x(x + 10)