Simplify the algebraic expression.
-$$\left[ - 6 x ^ { 2 } + \left( 7 x ^ { 2 } - 7 \right) \right] + \left[ \left( 7 x ^ { 2 } - \left( 5 - 6 x ^ { 2 } \right) \right) + 10 x ^ { 2 } \right]$$
A) $24 x ^ { 2 } - 12$
B) $- 2 x ^ { 2 } - 2$
C) $- 2 x ^ { 2 } + 12$
D) $- 22 x ^ { 2 } - 2$

Question

Quizplus · Accepted Answer

Explanation:Simplify the expression inside the first set of brackets:$$- 6 x ^ { 2 } + \left( 7 x ^ { 2 } - 7 \right)$$$$= - 6 x ^ { 2 } + 7 x ^ { 2 } - 7$$$$= x ^ { 2 } - 7$$Simplify the expression inside the second set of brackets:$$\left( 7 x ^ { 2 } - \left( 5 - 6 x ^ { 2 } \right) \right) + 10 x ^ { 2 }$$$$= 7 x ^ { 2 } - 5 + 6 x ^ { 2 } + 10 x ^ { 2 }$$$$= 23 x ^ { 2 } - 5$$Combine the simplified expressions:$$\left( x ^ { 2 } - 7 \right) + \left( 23 x ^ { 2 } - 5 \right)$$$$= x ^ { 2 } - 7 + 23 x ^ { 2 } - 5$$$$= 24 x ^ { 2 } - 12$$

Simplify the Algebraic Expression A) 24x2−1224 x ^ { 2 } - 1224x2−12

Simplify the Algebraic Expression A) $24 x ^ { 2 } - 12$