Question

Multiply. Write your answer in simplest form. (q²)/(q-5)*8

Answer 1

To multiply the expression (q²)/(q-5)*8 and write it in simplest form, we need to factorize, cancel out, and simplify the equation step by step.

Step-by-step explanation:

To multiply the expression (q²)/(q-5)*8, we can simplify it step by step:

1. First, factor the numerator into q * q. The expression becomes (q * q) / (q - 5) * 8.
2. Next, multiply the numerator q * q by 8, which gives us 8q².
3. Now, multiply the denominator (q - 5) by 8 to get 8(q - 5).
4. Finally, the expression (q²)/(q-5)*8 simplifies to 8q² / 8(q - 5).

Since the denominator is the same as the numerator in this case, we can cancel out the 8s: 8q² / 8(q - 5) = q² / (q - 5).

Therefore, the simplified form of (q²)/(q-5)*8 is q² / (q - 5).