How do you factor the expression #27+36x#?

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Answer 1 · 2017-05-23T13:57:29

See a solution process below:

First, rewrite this expression as:

#(9 xx 3) + (9 xx 4x)#

Now, factor a #9# out of each term:

#9(3 + 4x)#

Answer 2 · 2017-05-30T19:31:15

#=9(3+4x)#

the first step in factorising is to look for any common factors.

#27 and 36# are both multiples of #3 and 9#.

We use #9# because it is the highest common factor:
Divide #9# out of each term:

#27 +36x#

#=9(3+4x)#

The reverse process would be to use the distributive law to multiply each term in the bracket by #9#.
This will give us the original expression:

#9(3+4x) = 27+36x#