Question

Does (w^2 - 5w + 6) - (-3w + 2w +7) equal
4w^2 - 3w - 1?

Answer 1

no

Answer 2

yes ...if the expression is (-3w^2+2w+7) instead of (-3w+2w+7)

Answer 3

otherwise the expression is w^2-4w-1

Answer 4

nice trick is to change subtraction to addition and flip all the signs to the right
\[(w^{2}-5w+6) - (-3w^{2}+2w+7) = (w^{2}-5w+6) + (3w^{2}-2w-7)\]
\[=4w^{2}-7w-1\]