Question

Solve: $2{{x}^{2}}-{{x}^{2}}=$ ?

Answer 1

Hint: Here in this question we have been asked to solve the given algebraic expression $2{{x}^{2}}-{{x}^{2}}=$ for answering this question, we will simplify the given expression by performing some simple arithmetic operations like subtraction between the like terms in the expression.

Complete step by step answer:
Now considering from the question we have been asked to solve the given algebraic expression $2{{x}^{2}}-{{x}^{2}}=$ for answering this question, we will simplify the given expression by performing some simple arithmetic operations like subtraction.
Firstly we will perform the subtraction operation between the like terms in the given algebraic expression $2{{x}^{2}}-{{x}^{2}}$ after doing that we will have $\Rightarrow 2{{x}^{2}}-{{x}^{2}}={{x}^{2}}$ since this cannot be further simplified, we will consider it as the answer.
Therefore we can conclude that the solution of the given algebraic expression $2{{x}^{2}}-{{x}^{2}}$ is ${{x}^{2}}$ .

Note: Here in this type of questions less time is required but calculation mistakes may be possible. The possibility of mistakes is very less. Someone can make a mistake during calculation and consider it as $\Rightarrow 2{{x}^{2}}-{{x}^{2}}=3{{x}^{2}}$ which will lead them to end up having a wrong conclusion. So, we should be very careful during performing calculations between steps. Similarly we can simplify any algebraic expression for example let us consider $4{{p}^{2}}+{{p}^{2}}=5{{p}^{2}}$ . Someone can answer this question alternatively by taking out common from both the terms in the given expression. This approach will be given as
$\begin{align}
  & \Rightarrow 2{{x}^{2}}-{{x}^{2}}={{x}^{2}}\left( 2-1 \right) \\
 & \Rightarrow {{x}^{2}} \\
\end{align}$
We have got the same conclusion in both the approaches so any one of the approaches can be used.