Question

Solve the expression \[2{{x}^{2}}-{{x}^{2}}=?\].

Answer 1

Hint: In the above question, we have an algebraic expression and we have to find the value of the algebraic expression. The algebraic expression consists of two terms and hence it is a binomial. We will take the term outside which is common in both the operators and then we will further solve our question.

Complete step-by-step solution:
This is the question of algebraic expression. An algebraic expression is the branch of mathematics in which we have the combination of operators, variables, constants, and arithmetic operations. The value of a variable in an algebraic expression can be changed but the value of constants will not be changed. The different algebraic expressions will be equal to each other if they have an equal sign between them for the same value of a variable.
The basic expression that is used in algebraic expressions is addition, subtraction, multiplication, and division. An algebraic expression can be defined as the monomial, binomial, trinomial, and so on. In monomial, we have only one term. For eg: \[7\] is the type of monomial. In binomial, we have two terms that are connected through various arithmetic operations, and in trinomial, we have three terms that are also connected with various arithmetic operations. To solve the algebraic expression, we have to combine the like terms and then obtain the answer.
In addition, we have to add two operators with the help of a plus sign between them. In subtraction, we have to subtract two operators with the help of a minus sign between them. In multiplication, we have to multiply two operators and in the division, we have to divide two operators.
In the above question, we have to solve the given algebraic expression which is shown below.
\[2{{x}^{2}}-{{x}^{2}}\]
We have to find the value of \[2{{x}^{2}}-{{x}^{2}}\] in the above expression.
\[2{{x}^{2}}-{{x}^{2}}={{x}^{2}}(2-1)\]
We will take \[{{x}^{2}}\] common and then the above expression will be obtained.
\[2{{x}^{2}}-{{x}^{2}}={{x}^{2}}\]
So after solving the expression \[2{{x}^{2}}-{{x}^{2}}\], we get the value \[{{x}^{2}}\].

Note: While doing arithmetic expression, we have to follow certain rules and properties related to arithmetic expression. The commutative property of addition says that the result of the addition of two numbers does not depend upon the order of addition and this same rule applies to the commutative property of multiplication.