Question

Which of the following is equivalent to the expression below?

(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)
A. 4a^2 - 6b^2 + 12
B. 4a^2 - 6b^2 + 2
C. 4a^2 + 2b^2 + 2
D. 4a^2 + 2b^2 + 12

Answer 1

4a^2-6b^2+12

Explanation:

(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)

distribute the negative sign to each term in the 2nd expression

a^2-2b^2+3-4b^2+5+3a^2+4

combine like terms

4a^2-6b^2+12