torid1220 torid1220

02-10-2018
Mathematics

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Factor:

x^2 -xy -42y^2

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kudzordzifrancis kudzordzifrancis

02-10-2018

Two factors of -42 that will add up to -1 are

[tex]6,-7[/tex]
We use these factors to split the middle terms

[tex] {x}^{2} + 6xy - 7xy - 42 {y}^{2} [/tex]
[tex]x(x + 6y) - 7y(x + 6y)[/tex]
The factors are
[tex](x + 6y)(x - 7y)[/tex]

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