Use the distributive property as needed and add or subtract like terms. Arrange the terms with descending order of exponents on y. $$\left( y ^ { 2 } + 3 y - 3 \right) - \left( - 8 + 9 y + 3 y ^ { 2 } \right)$$
A) $5 - 2 y ^ { 2 } - 6 y$
B) $- 2 y ^ { 2 } - 6 y + 5$
C) $- 2 y ^ { 2 } + 5 - 6 y$
D) $5 - 6 y - 2 y ^ { 2 }$
E) $- 2 y ^ { 2 } + 12 y - 11$

Question

Quizplus · Accepted Answer

First, distribute the negative sign in the second set of parentheses, which changes the signs of the terms inside it. Then, combine like terms: $y^2 + 3y - 3 + 8 - 9y - 3y^2 = -2y^2 - 6y + 5$, arranged in descending order of exponents on y.

Use the Distributive Property as Needed and Add or Subtract (y2+3y−3)−(−8+9y+3y2)\left( y ^ { 2 } + 3 y - 3 \right) - \left( - 8 + 9 y + 3 y ^ { 2 } \right)(y2+3y−3)−(−8+9y+3y2)

Use the Distributive Property as Needed and Add or Subtract $\left( y ^ { 2 } + 3 y - 3 \right) - \left( - 8 + 9 y + 3 y ^ { 2 } \right)$