Question

How do you simplify $\left( 5{{x}^{3}}-10x+7 \right)-\left( 6{{x}^{3}}-20x+10 \right)$?

Answer 1

Hint: We have to simplify the given expression. To simplify the given expression first we will remove the parenthesis by multiplying the terms inside the second bracket by minus sign. Then we will combine the like terms and get the simplified form of the given expression.

Complete step by step solution:
We have been given that $\left( 5{{x}^{3}}-10x+7 \right)-\left( 6{{x}^{3}}-20x+10 \right)$.
We have to simplify the given expression.
First let us remove the parenthesis. As there is a minus sign between two brackets so we have to subtract the terms inside the second bracket from the terms inside the first bracket. For this we have to multiply the terms inside the second bracket by minus sign and write the terms of the first bracket as it is. Then we will get
$\Rightarrow 5{{x}^{3}}-10x+7-6{{x}^{3}}+20x-10$
Now, grouping the like terms we will get
$\Rightarrow 5{{x}^{3}}-6{{x}^{3}}-10x+20x-10+7$
Now, simplifying the above obtained equation we will get
$\Rightarrow -{{x}^{3}}+10x-3$
Hence above is the required simplified form of the given expression.

Note: When we add or subtract terms we have to be very careful. We have to add or subtract the terms with the same variable power. First start with the highest power then go ahead. In this particular question first we add or subtract the terms with variable ${{x}^{3}}$, then add or subtract the terms with variable x and then add or subtract the constant terms.