Question

How do you simplify $\left( 3{{x}^{3}}+10x+5 \right)-\left( {{x}^{3}}-4x+6 \right)$ ?

Answer 1

Hint: In this question we have been asked to simplify the given algebraic expression $\left( 3{{x}^{3}}+10x+5 \right)-\left( {{x}^{3}}-4x+6 \right)$ . For answering this question, we will perform simple basic arithmetic operations between similar terms in the given expression.

Complete step by step solution:
 Now considering from this question we have been asked to simplify the given algebraic expression $\left( 3{{x}^{3}}+10x+5 \right)-\left( {{x}^{3}}-4x+6 \right)$ .
For answering this question, we will perform simple basic arithmetic operations between similar terms in the given expression.
Firstly we will remove the brackets and write the expression in a simplified form. After that we will perform $\Rightarrow 3{{x}^{3}}+10x+5-{{x}^{3}}+4x-6$ .
Now we will add the similar terms. Firstly we will perform arithmetic addition on $3{{x}^{3}}$ and $-{{x}^{3}}$ . After doing that we will have $\Rightarrow 2{{x}^{3}}+10x+5+4x-6$ .
Now we will add $10x$ and $4x$ . After that simplification we will have $2{{x}^{3}}+14x+5-6$.
Now we will add $5$ and $-6$ . After that simplification we will have $ 2{{x}^{3}}+14x-1$.
Therefore we can conclude that the simplified or reduced form of the given algebraic expression $\left( 3{{x}^{3}}+10x+5 \right)-\left( {{x}^{3}}-4x+6 \right)$ is given as $2{{x}^{3}}+14x-1$.

Note: While answering questions of this type we should be sure with our calculations that we are going to perform in between the steps. This is a very simple and easy question and can be answered accurately in a short span of time. Someone can perform a calculation mistake unintentionally and consider this $ 2{{x}^{3}}+10x+5+4x-6=2{{x}^{3}}+14x+5$ then they will end up having a wrong conclusion.