Question

Factor completely.
7vw+7vx-7kw-7kx

Answer 1

For one, you can try and see what factors/coefficents these have in common.

Answer 2

We have some repeated variables like x and w and v that repeat more than one time, so it is possible we can factor with those in mind. Also, 7 is a common factor.

Answer 3

The factor for 7 is 7 & 1 so it is factored completely?

Answer 4

Pull out the 7:
7(vw + vx + kw + kx)

Answer 5

Now, look at the variables inside the parentheses. We can group these, right?
7 ( (wv+vx) + (kw+kx)
7 ( v(w+x) + k (w+x))
Right?
now we combine v + v since they go into the same set.
7(w+x)(v+k)

Answer 6

Then what

Answer 7

Wrong it's 7(v-k)(w+x)