# Project #4878 - factor with two variables

I copyied and pasted my book to show what we are doing .My math problem I need solved is y^2+yt-12^2   I just need it worked out with steps .I was confusied with this one. Solution a) To factor x2 + 2xy − 8y2 we need two integers with a product of −8 and a sum of 2. The only possibilities for a product of −8 are Only −2 and 4 have a sum of 2. Since (−2y)(4y) = −8y2, we have Check by using FOIL on (x − 2y)(x + 4y) to get x2 + 2xy − 8y2. b) To factor a2 − 7ab + 10b2 we need two integers with a product of 10 and a sum of −7. The only possibilities for a product of 10 are Only −2 and −5 have a sum of −7. Since (−2b)(−5b) = 10b2, we have Check by using FOIL on (a − 2b)(a − 5b) to get a2 − 7ab + 10b2. c) As in part (a), we need two integers with a product of −8 and a sum of −2. The integers are −4 and 2. Since 1 factors as 1 ⋅ 1 and −8x2y2 = (−4xy)(2xy), we have Check by using FOIL.

 Subject Mathematics Due By (Pacific Time) 04/23/2013 06:00 pm
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