Question

simplify: m^2+m-6/2p * 8/m^2-2m

i know the answer is either:
A) 4(m+3)/mp, m ≠ 0, 2 and p ≠ 0
B) 4(m+3)/mp, m ≠ −2, 0 and p ≠ 0

Answer 1

Both answers are the same in the first part. So we can ignore that portion.

The second part is the only difference

Since p is not equal to zero in both cases, we can ignore p and focus on m

Since

m^2 - 2m = 0

means that

m^2 - 2m = 0

m(m - 2) = 0

m=0 or m-2=0

m=0 or m=2

These values make the denominator zero. So we must make sure that m can't equal these values

So m ≠ 0 or m ≠ 2

which shortens to m ≠ 0, 2

Answer 2

okay , thank you so much!

Answer 3

you're welcome