How to subtract monomials with exponents? How to subtract monomials with exponents of one?

Example of subtracting monomials with exponents.

Subtract the following monomials with exponents

64t^{6} - 60t^{6}

Solution.

64t^{6} - 60t^{6} =

4t^{6}

4t

The answer 4t^{6}.

Example of subtracting monomials with exponents.

Subtract the following monomials with exponents

7s^{7} - s^{7}

Solution.

7s^{7} - s^{7} =

7s^{7} - 1 * s^{7} = 6s^{7}

7s

The answer 6s^{7}.

Example of subtracting monomials with exponents.

Subtract the following monomials with exponents

65u - 64u

Solution.

Where are the exponents here? The exponent is equal to one.

65u - 64u =

65u^{1} - 64u^{1} =

u^{1} = u

65u

u

The answer is u.

Example of subtracting monomials with exponents.

Subtract the following monomials with exponents

54v^{5} - 50v^{5} - 4w^{5}

Solution.

Here 54v^{5} and 50v^{5} are like terms (monomials). We can subtract them

54v^{5} - 50v^{5} = 4v^{5}

The 4v^{5} and 4w^{5} are unlike terms (monomials). We cannot subtract them.

54v^{5} - 50v^{5} - 4w^{5} =

4v^{5} - 4w^{5}

4v

The answer 4v^{5} - 4w^{5}.

See the definition of unlike terms.