Question

completely factor the expression by grouping, if possible.
\\54bp - 8vx + 9pv - 48bx\\

Explanation:

Rearrange the terms

Using the Factoring by Grouping knowledge point

$$ 54bp - 8vx + 9pv - 48bx = 54bp - 48bx + 9pv - 8vx $$

Factor the first group

Using the Greatest Common Factor knowledge point

$$ 54bp - 48bx = 6b(9p - 8x) $$

Factor the second group

Using the Greatest Common Factor knowledge point

$$ 9pv - 8vx = v(9p - 8x) $$

Factor out the common binomial

Using the Factoring by Grouping knowledge point

$$ 6b(9p - 8x) + v(9p - 8x) = (9p - 8x)(6b + v) $$

Answer:

Completely factor the expression by grouping, if possible.
\(54bp - 8vx + 9pv - 48bx =\) <blank>\((9p - 8x)(6b + v)\)</blank>