Simplify the algebraic expression. $$\left( 8 z ^ { 4 } + 5 z + 7 \right) - \left( 6 z ^ { 4 } - 2 z + 3 \right)$$
A) $2 z ^ { 4 } + 7 z + 4$
B) $- 2 z ^ { 4 } + 7 z - 4$
C) $14 z ^ { 4 } + 3 z + 4$
D) $- 2 z ^ { 4 } - 7 z - 4$
E) $2 z ^ { 4 } - 7 z + 4$

Question

Quizplus · Accepted Answer

Distributing the negative sign, we get $$\left( 8 z ^ { 4 } + 5 z + 7 \right) - \left( 6 z ^ { 4 } - 2 z + 3 \right) = 8 z ^ { 4 } + 5 z + 7 - 6 z ^ { 4 } + 2 z - 3.$$ Combining like terms, we get $$2 z ^ { 4 } + 7 z + 4.$$ Therefore, the answer is $\boxed{\textbf{(A)}}.$

Simplify the Algebraic Expression (8z4+5z+7)−(6z4−2z+3)\left( 8 z ^ { 4 } + 5 z + 7 \right) - \left( 6 z ^ { 4 } - 2 z + 3 \right)(8z4+5z+7)−(6z4−2z+3)

Simplify the Algebraic Expression $\left( 8 z ^ { 4 } + 5 z + 7 \right) - \left( 6 z ^ { 4 } - 2 z + 3 \right)$