Question

How do you simplify 3a + 5a + 5p?

Answer 1

Hint: To solve the above question we will use the concept of algebra. We will first arrange all the terms of the given expression such that the terms of the common variable are arranged together and then we will take that common variable as common and then we will simplify the constants and get the required answer.

Complete step-by-step solution:
We will use the concept of algebra to solve the above question. When we are given an algebraic expression to be simplified then we generally first arrange all the like terms of the given algebraic expression and then we will simplify the like term by using the algebraic operation given in the question.
From the question we have to simplify 3a +5a + 5p.
Here, in the question we have terms like 3a and 5a, so we will first keep them together.
$\Rightarrow 3a+5a+5p$
Now, we will take ‘a’ as common and then we will simplify the constant terms by adding them.
$\Rightarrow \left( 3+5 \right)a+5p$
Now, after adding the constants we will get:
$\Rightarrow 8a+5p$
Hence, the simplified form of 3a + 5a + 5p is $8a+5p$.
This is our required solution.

Note: Students are required to note that when we have to simplify an algebraic expression we first arrange all the like terms and then we simplify all the like terms by using the algebraic operations and get our required result.