147k views
2 votes
Factor 3pw + (3pm)/4 + 9p ^ 2 + (wm)/4​

User Jonypz
by
7.3k points

1 Answer

4 votes

Answer:

(1/4)(m + 12p)(3p + w)

Explanation:

3pw + (3pm)/4 + 9p² + (wm)/4 =

= (1/4)(12pw + 3pm + 36p² + wm)

= (1/4)(36p² + 12pw + 3pm + wm)

With a 4-term polynomial, try factoring by parts.

= (1/4)[12p(3p + w) + m(3p + m)]

= (1/4)(12p + m)(3p + w)

= (1/4)(m + 12p)(3p + w)

User Dimo Boyadzhiev
by
7.6k points