Question

How would you solve this? Factoring by grouping.
(s^2 - 2ps + 2s) - (2s - 4p + 4)

Answer 1

First we need to subtract like terms ...

s^2 - 4s + 2s + 4p + 4

but how can we solve without an equal sign?

Answer 2

Factor s from first expression. Factor 2 from second expression. Then, you will have a common expression to factor.

Answer 3

s(s-2p+2)
2(s-2p+2)

So, you get:
(s-2p+2)(s-2)

Answer 4

You don't "solve" it. You just write it in factored form. Sort of like saying "factor 10+4" You just write it as 2x7

Answer 5

Oh, I understand now. Thank you!