# Write an equivalent expression without using grouping symbols: -(-9x^8+8x+10)

## Question:

Write an equivalent expression without using grouping symbols:

{eq}-(-9x^{8}+8x+10) {/eq}

## Equivalent Expression

An equivalent expression of an expression already given to us is an expression that gives the same result as the original expression for the same values of the unknown variable. To solve this question, we use the distributive property.

The equivalent expression will be found as follows.

\begin{align} =&-(-9x^{8}+8x+10)\\ =&-1(-9x^{8}+8x+10)\\ =&(-1)(-9x^8)+(-1)(8x)+(-1)(10)&&&&\left [ \because a(b+c+d)=ab+ac+ad \right ]\\ =&9x^8-8x-10 \end{align}