# SBP-Program

## Adding and subtracting monomials with exponents

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

### Examples of adding and subtracting monomials with exponents

Example of adding and subtracting monomials with exponents.

Add and subtract the following monomials with exponents

81x5 + 4x5 - 3x5

Solution.

81x5 + 4x5 - 3x5 =
82x5

The answer 82x5.

Example of adding and subtracting monomials with exponents.

Add and subtract the following monomials with exponents

3x5 + 2x5 - x5

Solution.

3x5 + 2x5 - x5 =
3x5 + 2x5 - 1x5 = 4x5

The answer 4x5.

Example of adding and subtracting monomials with exponents.

Add and subtract the following monomials with exponents

10y + 9y - 17y

Solution.

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

10y + 9y - 17y =
10y1 + 9y1 - 17y1 =
2y1 = 2y

The answer 2y.

Example of adding and subtracting monomials with exponents.

Add and subtract the following monomials with exponents

14x8 + 2x8 - 16x7

Solution.

Here 14x8 and 2x8 are like terms (monomials). We can add them

14x8 + 2x8 = 16x8

The 16x8 and 16x7 are unlike terms (monomials). We cannot add them.

The answer 16x8 + 16x7.

See the definition of unlike terms.