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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.

Answer and Explanation:


The equivalent expression will be found as follows.

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


Learn more about this topic:

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Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
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