contestada

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.

Respuesta :

xKelvin

Answer:

See Below.

Step-by-step explanation:

We have the expression:

[tex]3pf^2-21p^2f+6pf-42p^2[/tex]

Part A:

Find the GCF. Notice that we have a three in every term and a p in every term. Thus, the GCF will be 3p. Factor:

[tex]3p(f^2-7pf+2f-14p)[/tex]

This is the most we can do.

Part B:

Continuing from where we left off, we can factor the entire expression by grouping:

[tex]\displaystyle \begin{aligned} &= 3p(f^2-7pf+2f-14p) \\ \\ &= 3p(f(f-7p)+2(f-7p)) \\ \\ &=3p((f+2)(f-7p))\end{aligned}[/tex]

Otras preguntas