Question

Multiply the following rational expressions. (11x²+10xy-y²) / (11x²-12xy+y²) * (x²-y²) / (x²+2xy+y²)

Answer 1

To multiply the rational expressions, multiply the numerators and denominators together.

Step-by-step explanation:

To multiply the rational expressions, we multiply the numerators together and multiply the denominators together. In this case, we have:

(11x²+10xy-y²) / (11x²-12xy+y²) * (x²-y²) / (x²+2xy+y²)

When we multiply the numerators, we get (11x²+10xy-y²)(x²-y²). When we multiply the denominators, we get (11x²-12xy+y²)(x²+2xy+y²).

Combining these two expressions, we get:

((11x²+10xy-y²)(x²-y²)) / ((11x²-12xy+y²)(x²+2xy+y²))

Further simplification may be possible by factoring and canceling out common terms.