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) =

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

Step-by-step 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

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

-232

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.