How to add similar monomials?

Adding similar monomials rule

When adding similar monomials we only add the coefficients of the monomials.

See the definition of similar monomials.

Example of adding of similar monomials.

Add the monomials

8d + 2d

Solution.

The coefficients of the monomials are 8 and 2.

8d + 2d = 10d

The answer: 10d.

Example of adding of similar monomials.

Add the following monomials

10.4a + 0.6a

Solution.

The coefficients of the monomials are 10.4 and 0.6.

10.4a + 0.6a = 11a

The answer: 11a.

Example of adding of similar monomials.

Adding similar monomials

3xz + 3.5xz

Solution.

The coefficients of the monomials are 3 and 3.5.

3xz + 3.5xz = 6.5xz

The answer: 6.5xz.

Example of adding of similar monomials.

Add the following monomials

4x^{3} + 3x^{3} + 2x^{2}

Solution.

Are all these three terms similar monomials? No, they are not.

Only the two monomials 4x^{3} and 3x^{3} are similar monomials.

The coefficients of the similar monomials are 4 and 3.

4x^{3} + 3x^{3} + 2x^{2} =

7x^{3} + 2x^{2}

7x

The answer: 7x^{3} + 2x^{2}.