How to perform subtraction of monomials?

Subtraction monomials rule:

When adding like monomials subtract the coefficients of the like monomials.

Example of subtraction of monomials.

Subtraction of monomials

74ad - 72ad

Solution.

The coefficients of the monomials are 74 and 72.

Subtract the coefficients of the monomials

74ad - 72ad = 2ad

The answer: 2ad.

Example of subtraction of monomials.

Subtract the following monomials

6.2ef - 5.5ef

Solution.

The coefficients of the monomials are 6.2 and 5.5.

Subtract the coefficients of the monomials

6.2ef - 5.5ef = 0.7ef

The answer: 0.7ef.

Example of subtraction of monomials.

Subtract the following monomials

8.5g - g

Solution.

8.5g - g =

8.5g - 1 * g

8.5g - 1 * g

The coefficients of the monomials are 8.5 and 1.

Subtract the coefficients of the monomials

8.5g - g =

8.5g - 1 * g = 7.5g

8.5g - 1 * g = 7.5g

Answer: 7.5g.

Example of subtraction of monomials.

Subtract the following monomials

58h^{6} - 56h^{6}

Solution.

The coefficients of the monomials are 58 and 56.

Subtract the coefficients of the monomials

58h^{6} - 56h^{6} = 2h^{6}

Answer: 2h^{6}.

Example of subtraction of monomials.

Subtract the following monomials

26j^{4} - 6j^{3}

Solution.

See the definition of like terms.

These two terms 26j^{4} and 6j^{3} are not like terms.

We can only subtract like terms.

See Subtraction of monomials worksheet.