How to add monomials? How to add like monomials?

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.

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

8bc + 8.2bc + 1bc =

17.2bc

Answer: 17.2bc.

Example of adding monomials.

Add the following monomials

17a^{7} + 45a^{5} + 10a^{5}

Solution.

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

Only the two monomials 45a^{5} and 10a^{5} are like monomials.

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

The coefficients of the monomials are 45 and 10.

17a^{7} + 45a^{5} + 10a^{5} =

17a^{7} + 55a^{5}

17a

Answer: 17a^{7} + 55a^{5}.

See the Addition of monomials.