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Subtracting monomials with different exponents

How to subtract monomials with different exponents? How do you subtract monomials with different exponents?

Examples of subtracting monomials with different exponents

Example of subtracting monomials with different exponents.

Subtract the following monomials with different exponents

34f3 - 4f2f

Solution.

34f3 - 4f2f =
34f3 - 4f2f1 =
34f3 - 4f2 + 1 =
34f3 - 4f3 = 30f3

Answer: 30f3.

Example of subtracting monomials with different exponents.

Subtract the following monomials with different exponents

31h2 - 6hh

Solution.

31h2 - 6hh =
31h2 - 6h1h1 =
31h2 - 6h1 + 1 =
31h2 - 6h2 = 25h2

Answer: 25h2.

Example of subtracting monomials with different exponents.

Subtract the following monomials with different exponents

47nn - n2

Solution.

47nn - n2 =
47n1n1 - n2 =
47n1 + 1 - n2 =
47n2 - n2 = 46n2

Answer: 46n2.

Example of subtracting monomials with different exponents.

Subtract the following monomials with different exponents

20y4 - 5y4 - z4

Solution.

20y4 - 5y4 - z4 =
(20y4 - 5y4) - z4 =
15y4 - z4

Answer: 15y4 - z4.

Note, we can only subtract like terms (monomials) and we cannot subtract unlike terms (monomials).

See the subtracting unlike monomials.

See the subtracting like monomials.