How to subtract similar monomials?

Subtracting similar monomials rule

When subtracting similar monomials we only subtract the coefficients of the monomials.

See the definition of similar monomials.

Example of subtracting of similar monomials.

Subtract the monomials

28r - 16r

Solution.

The coefficients of the monomials are 28 and 16.

28r - 16r = 12r

The answer: 12r.

Example of subtracting of similar monomials.

Subtract the following monomials

48.8r - 45.3r

Solution.

The coefficients of the monomials are 48.8 and 45.3.

48.8r - 45.3r = 3.5r

The answer: 3.5r.

Example of subtracting of similar monomials.

Subtracting similar monomials

23gh - 23.5gh

Solution.

The coefficients of the monomials are 23 and 23.5.

23gh - 23.5gh = -0.5gh

The answer: -0.5gh.

Example of subtracting of similar monomials.

Subtract the following monomials

38de^{8} - 30de^{8} - 8ef^{8}

Solution.

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

Only the two monomials 38de^{8} and 30de^{8} are similar monomials.

The coefficients of the similar monomials are 38 and 30.

38de^{8} - 30de^{8} - 8ef^{8} =

8de^{8} - 8ef^{8}

8de

The answer: 8de^{8} - 8ef^{8}.