Question

Simplify the difference
(7w2 – 7w – 8) – (5w2 + 2w – 3)

I got (w-5)(2w+1) but thats not on my answer choices..

12w2 + 9w + 5
2w2 – 9w – 5
2w2 – 5w – 11
12w2 – 5w – 11

Answer 1

@arivillafana

Answer 2

@jim_thompson5910

Answer 3

@campbell_st

Answer 4

\(\bf (7w^2-7w-8)-{\color{brown}{ (5w^2+2w-3) }}
\\ \quad \\
(7w^2-7w-8){\color{brown}{ -5w^2-2w+3 }}
\\ \quad \\
7w^2-7w-8-5w^2-2w+3\implies ?\)

Answer 5

10w?

Answer 6

10w? whatever happened to the other two terms?

Answer 7

huh?

Answer 8

reduce the like terms
notice the like terms \(\bf {\color{blue}{ 7w^2}}{\color{brown}{ -7w}}-8{\color{blue}{ -5w^2 }}{\color{brown}{ -2w }}+3\implies ?\)

Answer 9

just group the like terms

\[7w^2 - 5w^2 = ?\]

-7w - 2w = ?

-8 + 3

and what's left is the solution

Answer 10

\[7w^2-5w^2=24 -7w-2w=-9 -8+3=-5\]

Answer 11

What would I do next?

Answer 12

(7w^2 – 7w – 8) – (5w^2 + 2w – 3)
7w^2 - 7w -8 - 5w^2 - 2w + 3 Distributed the negative
7w^2 - 5w^2 - 7w - 2w - 8 + 3 Rearranged
2w^2 - 7w - 2w - 8 + 3 Solved 7w^2 - 5w^2
2w^2 - 9w - 8 + 3 Solved -7w - 2w
2w^2 - 9w - 5 <---Answer Solved -8 + 3

Answer 13

Oh yay thats what i have marked down already :)

Answer 14

\[7w^2 - 5w^2 = 2w^2\]

7w - 2w = 5w

-8 + 3 = -5

so the answer is

\[2w^2 + 5w - 5 \]