How do you factor completely 2x² - 8x -3xy + 12y?

1 Answer
EZ as pi
Jul 14, 2016

=(x-4)(2x + 3y)

Explanation:

There are 4 terms. They can be factored by grouping.
Group them in pairs to create a common factor in each pair, but place a + sign between the groups.

(2x^2 - 8x) + (-3xy +12y)

=2x(x -4) -3y(x - 4) " note the sign changes!"

=(x-4)(2x + 3y) " common bracket"

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