Question

Perform the indicated operation. Be sure the answer is reduced.
(9-s²)(3rs) ÷ (s²+2s-15)(5rs)

Answer 1

To perform the indicated operation, we simplify the numerator and denominator separately, and then divide them.

Step-by-step explanation:

To perform the indicated operation, we will simplify the numerator and denominator separately, and then divide them.

Simplifying the numerator:

We expand the numerator using the distributive property: (9-s²)(3rs) = 27rs - 3rs³.

Simplifying the denominator:

We factorize the denominator: s²+2s-15 = (s+5)(s-3).

We then multiply by the common denominator, 5rs, to obtain: 5rs(s+5)(s-3).

Dividing the numerator and denominator:

Now we divide the numerator (27rs - 3rs³) by the denominator (5rs(s+5)(s-3)).

The final expression is: (27rs - 3rs³) / (5rs(s+5)(s-3)).