Question

Martina tried to perform the following division and reduce to lowest terms:

(-2x-8)/x²+2x-15 : (x+4)/x²-6x+9

Answer 1

To perform the division and reduce the expression to lowest terms, multiply the first fraction by the reciprocal of the second fraction and simplify the expression.

Step-by-step explanation:

To perform the division and reduce to lowest terms, we need to divide the numerator and denominator of the first fraction by the numerator and denominator of the second fraction.

To divide (-2x-8) by (x+4), we need to multiply the first fraction by the reciprocal of the second fraction, which is (x+4)/(x+4). This gives us:

(-2x-8)(x+4)/(x+4)(x^2+2x-15)

Simplifying this expression, we get:

-2(x+4)/(x(x+3)(x-5))

So, the simplified expression is -2(x+4)/(x(x+3)(x-5)).