Question

factor the polynomial by grouping.
$y(q - 8) - (q - 8)$

Explanation:

Step1: Identify the common factor

Both terms \( y(q - 8) \) and \( -(q - 8) \) have a common factor of \( (q - 8) \).

Step2: Factor out the common factor

Using the distributive property in reverse (factoring), we can factor out \( (q - 8) \) from both terms. So we get \( (q - 8)(y - 1) \).

Answer:

\((q - 8)(y - 1)\)