Perform the operations and simplify. $$\left( 8 x ^ { 3 } - 3 x ^ { 2 } \right) + \left( 5 x ^ { 3 } - 3 x \right)$$
A) $\quad 13 x - 3 x ^ { 2 } - 3 x ^ { 3 }$
B) 0
C) $\quad 7 x ^ { 3 }$
D) $\quad 13 x ^ { 3 } - 3 x ^ { 2 } - 3 x$

Question

Quizplus · Accepted Answer

Addition is commutative and associative. We can regroup the expression as follows, 
$$\left( 8 x ^ { 3 } + 5 x ^ { 3 } \right) - 3 x ^ { 2 } - 3 x $$
$$=13 x ^ { 3 } - 3 x ^ { 2 } - 3 x$$ 
Therefore, the correct answer is D.

Perform the Operations and Simplify (8x3−3x2)+(5x3−3x)\left( 8 x ^ { 3 } - 3 x ^ { 2 } \right) + \left( 5 x ^ { 3 } - 3 x \right)(8x3−3x2)+(5x3−3x)

Perform the Operations and Simplify $\left( 8 x ^ { 3 } - 3 x ^ { 2 } \right) + \left( 5 x ^ { 3 } - 3 x \right)$