# SBP-Program

## Similar monomials

What are similar monomials?

### Similar monomials definition

Definition of similar monomials:

Similar monomials are monomials that can only differ in their coefficients and their literal parts are the same.

### Examples of similar monomials

Example 1.

Is the monomial 2a similar to the monomial 5a?

Solution.

These two monomials differ in their coefficients (2 and 5) and not in their literal parts. It means that these two monomials are similar.

The answer: 2a is similar to 5a.

Example 2.

Is the monomial 23a3 similar to the monomial 56a3?

Solution.

These two monomials differ in their coefficients (23 and 56) and not in their literal parts (a3). It means that these two monomials are similar.

The answer: 23a3 similar to the 56a3.

Example 3.

What monomial is similar to 3x?

Solution.

We know that similar monomials can only differ in their coefficients and not in their literal parts.

The monomial 4x is similar to 3x.

These two monomials differ in their coefficients (3 and 4) and not in their literal parts. It means that these two monomials are similar.

The answer: 4x is similar to 3x. There are many monomials similar to 3x: 150x, 3.56x,...

Example 4.

Is the monomial 4a5b3c2 similar to the monomial 33a4b2cabc?

Solution.

33a4b2cabc =
33a4 + 1b2 + 1c1 + 1 =
33a5b3c2

These two monomials differ in their coefficients (4 and 33) and not in their literal parts. It means that these two monomials are similar.

The answer: 4a5b3c2 is similar to 33a4b2cabc.