Question

WILL MARK BRAINLIEST!!!!PLZ HELP!!!! An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.

Answer 1

Answer:

See below.

Step-by-step explanation:

So, we have:

$3pf^2-21p^2f+6pf-42p^2$

PART A:

Find the GCF. Notice that we have a 3 in every term and a p in every term. Thus, the GCF is 3p:

$3p(f^2-7pf+2f-14p)$

This is the most we can do.

PART B:

Continue from where we left off. Factor the entire expression:

$3p(f^2-7pf+2f-14p)\\3p(f(f-7p)+2(f-7p))\\3p((f+2)(f-7p))$