Step by step
The question
Question: simplify 5m − m.
Simplify means: write it shorter, with the same value.
5m − m
1 Group like terms
Terms are the parts between the + and − signs.
Like terms are the same kind: same letters, same powers.
All the m terms go together.
Each colour is one kind.
like terms = same letters,
same powers
5m − m is 4m.
It is like 5 apples take away 1 apple: that is 4 apples.
5m − m = 4m
So the expression is 4m.
= 4m
2 Check
Let's check.
We pick a number for each letter: m = 2.
We put it into the start.
Start: 5 × 2 − 2 = 10 − 2 = 8
Now into our answer.
Answer: 4 × 2 = 8
Both give 8.
Same value, so 4m is right!
Both give 8
Let's look back.
First: group like terms.
Last: check.
Answer
= 4m