Question

How do you simplify 3p-2p+5p?

Answer 1

Hint: This type of problem is based on the concept of linear expression with one variable. First, we have to consider the given expression. We find that p is common in all the three terms of the expression. Take p common out of the bracket. Then, we have to solve the expression inside the bracket. On subtracting 2 from 3, we get 1 and on adding 5 to 1, we get 6. Thus, the simplified expression 6p is obtained which is the required answer.

Complete step by step solution:
According to the question, we are asked to simplify 3p-2p+5p.
We have been given the expression is 3p-2p+5p. --------(1)
First let us consider expression (1).
We find that the variable is p and the degree of the expression is 1.
We observe that p is common in all the three terms of the expression.
Let us take p common from the expression.
Therefore, we get
3p-2p+5p=p(3-2+5)
Now, we have to calculate 3-2+5.
We know that 3-2=1. On substituting in the expression, we get
\[\Rightarrow 3p-2p+5p=p\left( 1+5 \right).\]
Also, we know that 1 added to 5 is equal to 6.
Therefore, we get
3p-2p+5p=6p
Therefore, the simplified expression of 3p-2p+5p is 6p.

Note:
Whenever we get such types of problems, we have to look for the common terms and then take the common terms out of the bracket. Avoid calculation mistakes based on sign convention. In this question, we can first add 3 with 5 which are equal to 8 and then subtract 2 from 8 which are equal to 6. We can avoid confusion if we first finish off with the addition and then move to the subtraction or vice-versa.