Question

Can I have help please.

Find the difference 3 - (-5u^2 + 9)

A. 5u^2 + 12
B. 8u^2 + 12
C. -5u^2 + 12
D. 5u^2 - 6
E. 8u^2 - 6

Answer 1

5 u^2 + -6 thus the answer is D.

Explanation:

Simplify the following:

-(-5 u^2 + 9) + 3

Factor -1 out of 9 - 5 u^2:

3 - -(5 u^2 - 9)

(-1)^2 = 1:

5 u^2 - 9 + 3

Grouping like terms, 5 u^2 - 9 + 3 = 5 u^2 + (3 - 9):

5 u^2 + (3 - 9)

3 - 9 = -6:

Answer: 5 u^2 + -6