How do you factor 5z + 8yx + 4yz + 10x ?

1 Answer
Alan P.
Apr 6, 2016

(5+4y)(z+2x)

Explanation:

Given
color(white)("XXX")5z+8yx+4yz+10x

Recognizing the 1:2 ratio of 5:10 and 4:8
we can regroup the terms as
color(white)("XXX")(5z+10x)+(4yz+8yx)
then extract common factors from each pair of terms:
color(white)("XXX")5(z+2x)+4y(z+2x)

Recognize the common factor: (z+2x)
color(white)("XXX")(5+4y)(z+2x)

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