Use the distributive property to write the expression $8 x ( d - x )$ without parentheses. Simplify the result, if possible.
A) $8 d x - 8 d ^ { 2 }$
B) $d x + d - 8 x ^ { 2 }$
C) $8 x + d - x$
D) $8 d x - 8 x ^ { 2 }$
E) $d x - 8 x ^ { 2 }$

Question

Use the distributive property to write the expression $8 x ( d - x )$  without parentheses. Simplify the result, if possible.
A) $8 d x - 8 d ^ { 2 }$
B) $d x + d - 8 x ^ { 2 }$
C) $8 x + d - x$
D) $8 d x - 8 x ^ { 2 }$
E) $d x - 8 x ^ { 2 }$

Quizplus · Accepted Answer

Using the distributive property, we get:
$$8 x ( d - x ) = 8 x d - 8 x^2 = 8 dx - 8x^2$$
which matches option D. We cannot simplify this expression any further.

Use the Distributive Property to Write the Expression 8x(d−x)8 x ( d - x )8x(d−x)

Use the Distributive Property to Write the Expression $8 x ( d - x )$