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

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(52798) (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
~~~~~~~~~~~~~~~

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) (Show Source): You can put this solution on YOUR website!

The terms are , , , and

(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

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:

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

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

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