Question

Simplify $3i + i$?

Answer 1

Hint: In this question, we will use the basic concept of algebra. We can apply operations like addition only on like terms. First, take common terms and then apply the operation. For example, \[2x + 5 - x + 2\] in this example \[2x\], \[-x\] and \[5,2\] are like terms so we combine them and apply the operation. \[\left( {2x - x} \right) + \left( {5 + 2} \right)\] and then \[x + 7\] is the answer.

Complete step by step answer:
We have been given an expression $3i + i$.
An algebraic expression is a combination of constants, variables, and operators. The four basic operations of mathematics are addition, subtraction, multiplication, and division can be performed on algebraic expressions. The addition and subtraction of algebraic expressions are quite similar to the addition and subtraction of numbers. However, when it comes to the algebraic expressions, you must sort the like terms and the unlike terms together. In this article, we will learn about the addition and subtraction of algebraic expressions, how to sort the like and unlike terms, and have a look at some of the solved examples.
For simplifying an algebraic expression that consists of both the like and then unlike terms, you need to follow these basic steps:
1. Keep the like terms together.
2. Add or subtract the coefficients of these terms.
Take common from the terms,
$ \Rightarrow i\left( {3 + 1} \right)$
Now add the terms in the brackets, we get
$ \Rightarrow 4i$
Hence, the simplification of $3i + i$ is $4i$.

Note: In this type of question first we have to separate the terms having the same variable on one side and other terms on the other side. Then we will perform the operations according to the question and we get the required answer.