What is the factored form of y^2 + xy − 6x^2?
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Answer:
[tex]B. \left(y-2x\right)\left(y+3x\right)[/tex]
Step-by-step explanation:
[tex]y^2+xy-6x^2[/tex]
Break the expression into group:
[tex](yx^{2} -2xy)(3xy-6x^{2} )[/tex]
factor out [tex]y[/tex] from [tex]y^{2} -2yx:y\left(y-2x\right)[/tex], and factor out, [tex]3x[/tex] from [tex]3yx-6x^2:3x\left(y-2x\right)[/tex]
[tex]y\left(y-2x\right)+3x\left(y-2x\right)[/tex]
Now, factor out common terms: [tex]y-2x[/tex]
[tex]\left(y-2x\right)\left(y+3x\right)[/tex]
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