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How to solve this x²-xy-4x+4y

Sagot :

Factor the expression.

Given:

[tex]x^2 - xy - 4x + 4y[/tex]

We can attempt to group terms to factor by grouping. Notice that:

[tex]{x^2 - xy - 4x + 4y = x(x - y) - 4(x - y)}[/tex]

We can factor out the common term (x - y):

[tex]{x(x - y) - 4(x - y) = (x - y)(x - 4) } [/tex]

The factored form of the expression is:

[tex]{x^2 - xy - 4x + 4y = (x - y)(x - 4)}[/tex]