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Factor x² + xy-2x-2y.​

Sagot :

Answer: (x-2)(x+y)

Step-by-step explanation:

x² + xy-2x-2y=

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

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

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Answer:

[tex] \large \boxed{(x- 2)(x+y)}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + xy - 2x - 2y[/tex]

We are given with 4 terms. so use grouping method for factoring. To factor the given expression we take out GCF

[tex]x^2- 2x +xy - 2y[/tex]

we group first two terms and last two terms

then take out GCF from each group

[tex]x(x-2) +y(x-2)[/tex]

Now take out common factor x-2

[tex](x- 2)(x+y)[/tex]

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