SBP-Program

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Adding monomials with exponents

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

Examples of adding monomials with exponents

Example of adding monomials with exponents.

Add the following monomials with exponents

15a5 + 5a5

Solution.

15a5 + 5a5 =
20a5

The answer 20a5.

Example of adding monomials with exponents.

Add the following monomials with exponents

2a3 + a3

Solution.

2a3 + a3 =
2a3 + 1 * a3 = 3a3

The answer 3a3.

Example of adding monomials with exponents.

Add the following monomials with exponents

8a + 7a

Solution.

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

8a + 7a =
8a1 + 7a1 =
15a1 = 15a

The answer 15a.

Example of adding monomials with exponents.

Add the following monomials with exponents

12a4 + 10a4 + 8a3

Solution.

Here 12a4 and 10a4 are like terms (monomials). We can add them

12a4 + 10a4 = 22a4

The 22a4 and 8a3 are unlike terms (monomials). We cannot add them.

The answer 22a4 + 8a3.

See the definition of unlike terms.