Question

Question #8: Which expression is equivalent to `9x^{2}-\frac{2}{3}\left(3x-6\right)+5x^{2}`

Answer 1

First distribute and combine like terms:

(2/3)(3x - 6) = 2x - 4, so
9x^2 - (2/3)(3x - 6) + 5x^2 = 9x^2 - (2x - 4) + 5x^2
= 9x^2 - 2x + 4 + 5x^2
= 14x^2 - 2x + 4

(You can factor out 2: 2(7x^2 - x + 2).)