How to subtract monomials? How to subtract like monomials?

Subtracting monomials rule:

To subtract like monomials subtract the coefficients of the monomials.

See the definition of like terms.

See the coefficient of the monomial.

Example of subtracting monomials.

Subtracting like monomials

52xy - 42xy

Solution.

When subtracting like monomials the coefficients are subtracted.

The coefficients of the monomials are 52 and 42.

52xy - 42xy = 10xy

Answer: 10xy.

Example of subtracting monomials.

Subtract the following monomials

72.3ab - 70.3ab

Solution.

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

The coefficients of the monomials are 72.3 and 70.3.

72.3ab - 70.3ab = 2ab

Answer: 2ab.

Example of subtracting monomials.

Subtracting like monomials

7.6b - 4.3b - b

Solution.

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

The coefficients of the monomials are 7.6, 4.3 and 1.

7.6b - 4.3b - b =

7.6b - 4.3b - 1b =

2.3b

7.6b - 4.3b - 1b =

2.3b

Answer: 2.3b.

Example of subtracting monomials.

Subtract the following monomials

4a^{6} - 3a^{4} - 2a^{4}

Solution.

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

Only the two monomials 3a^{4} and 2a^{4} are like monomials.

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

The coefficients of the monomials are 3 and 2.

4a^{6} - 3a^{4} - 2a^{4} =

4a^{6} - a^{4}

4a

Answer: 4a^{6} - a^{4}.

See the subtraction of monomials.