SOLUTION: Factor by grouping. 4 x squared plus 9 x y minus 8 x minus 18 y

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Question 1190550: Factor by grouping.

4 x squared plus 9 x y minus 8 x minus 18 y
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Factor by grouping.
4 x squared plus 9 x y minus 8 x minus 18 y
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It is  EASY  exercise in one line. 


    4x^2 + 9xy - 8x - 18y = grouping = (4x^2 - 8x) + (9xy - 18y) = 4x(x-2) + 9y(x-2) = (x-2)*(4x+9y).   ANSWER

Factoring is completed.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The terms are 4x%5E2, 9xy, -8x, and -18y

(1) Pick any two terms that have a common factor and make them a group; make the remaining two terms a second group. The first two terms have an x in common, so we can group them. The expressions is then

%284x%5E2%2B9xy%29%2B%28-8x-18y%29

Factor the common factor out of the first group of two terms, and factor any common factor out of the other group of two terms:

x%284x%2B9y%29%2B%28-2%284x%2B9y%29%29

The binomial factors from both groups are the same, so the expression can be factored by grouping:

4x%5E2%2B9xy-8x-18y=x%284x%2B9y%29-2%284x%2B9y%29=%28x-2%29%284x%2B9y%29

Note we can reach the same result by grouping the first and third terms, which have a 4x in common: