Question

Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution.

G(x) = 3x 2 - 2x - 1
G(a + b) =

Answer 1

Answer: 3a^2+6ab+3b^2-2a-2b-1

Explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

Answer: 3a^2+6ab+3b^2-2a-2b-1

Explanation:

Answer 2

Answer: 3a^2+6ab+3b^2-2a-2b-1

Explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

Answer: 3a^2+6ab+3b^2-2a-2b-1