Question

Write the expression in complete factored form.

x^2-4x-xy+4y

Answer 1

The expression x^2-4x-xy+4y can be factored by grouping and then factoring out common terms to get the complete factored form as (x - y)(x - 4).

Step-by-step explanation:

To write the expression in complete factored form, we look for common factors and group terms to factor by grouping. Let's consider the given expression x^2-4x-xy+4y. We can rearrange and group the terms to begin factoring:

x^2 - xy - 4x + 4y

We can factor out an x from the first group and a 4 from the second group:

x(x - y) - 4(x - y)

Now we see that (x - y) is a common factor, so we factor it out:

(x - y)(x - 4)

This is our expression in complete factored form.

Answer 2

The expression is
`x^2-4x-xy+4y`.

Factorizing x in the first two expressions and -y in the second two, we have:


`x(x-4)-y(x-4)`. Now the common terms is (x-4), so factorizing it, we have:

(x-4)(x-y).


Answer: (x-4)(x-y).