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Adding like monomials

How to add monomials? How to add like monomials?

Adding monomials rules

How to find the sum of monomials?

Adding monomials rule:

To add like monomials add the coefficients of the monomials.

See the definition of like terms.

Examples of adding monomials

Example of adding monomials.

Adding like monomials

14rt + 15rt

Solution.

When adding like monomials the coefficients are added.

The coefficients of the monomials are 14 and 15.

14rt + 15rt = 29rt

Answer: 29rt.

Example of adding monomials.

Add the following monomials

5.5as + 6.5as

Solution.

To add two monomials add the coefficients of the 2 like monomials.

The coefficients of the monomials are 5.5 and 6.5.

5.5as + 6.5as = 12as

Answer: 12as.

Example of adding monomials.

Adding like monomials

8bc + 8.2bc + bc

Solution.

To add three monomials add the coefficients of the 3 like monomials.

The coefficients of the monomials are 8, 8.2 and 1.

8bc + 8.2bc + bc =
8bc + 8.2bc + 1bc =
17.2bc

Answer: 17.2bc.

Example of adding monomials.

Add the following monomials

17a7 + 45a5 + 10a5

Solution.

Are all the three like monomials? No, they are not.

Only the two monomials 45a5 and 10a5 are like monomials.

To add two like monomials add the coefficients of the 2 monomials.

The coefficients of the monomials are 45 and 10.

17a7 + 45a5 + 10a5 =
17a7 + 55a5

Answer: 17a7 + 55a5.

See the Addition of monomials.