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

Question

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

1 Answer

Impact of this question

1495 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-06T19:56:38

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

Explanation:

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

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

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

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor 5z+8yx+4yz+10x5z + 8yx + 4yz + 10x ?

1 Answer

Explanation:

Related questions

Impact of this question

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