Question

Pertorm the multiplication or division and simplity. ((2x²-9x-5)/(x²-16))/((2x²+11x+5)/(x²+x-20))

Answer 1

To simplify the given expression, we can follow these steps: simplify the numerator and denominator separately, divide the numerator by the denominator, factorize the expression if possible, and simplify the final expression if there are any common factors.

Step-by-step explanation:

To perform the multiplication or division and simplify the given expression, we can follow these steps:

1. Simplify the numerator and denominator separately.
2. Divide the numerator by the denominator.
3. Factorize the expression if possible.
4. Simplify the final expression if there are any common factors.

Let's apply these steps to the given expression:

((2x²-9x-5)/(x²-16))/((2x²+11x+5)/(x²+x-20))

First, simplify the numerator and denominator separately:

Numerator: 2x²-9x-5 = (2x+1)(x-5)

Denominator: x²-16 = (x+4)(x-4)

Next, divide the numerator by the denominator:

(2x+1)(x-5) / (x+4)(x-4)

If possible, factorize the expression:

(2x+1)(x-5) / [(x+4)(x-4)]

Simplify the final expression, if there are any common factors.

So, the simplified expression is: (2x+1)(x-5) / (x+4)(x-4).