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Adding monomials with different exponents

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

Examples of adding monomials with different exponents

Example of adding monomials with different exponents.

Add the following monomials with different exponents

4a5 + 4a4a

Solution.

4a5 + 4a4a =
4a5 + 4a4a1 =
4a5 + 4a4 + 1 =
4a5 + 4a5 = 8a5

Answer: 8a5.

Example of adding monomials with different exponents.

Add the following monomials with different exponents

5a2b + 4aab

Solution.

5a2b + 4aab =
5a2b + 4a1a1b =
5a2b + 4a1 + 1b =
5a2b + 4a2b = 9a2b

Answer: 9a2b.

Example of adding monomials with different exponents.

Add the following monomials with different exponents

6bb + b2

Solution.

6bb + b2 =
6b1b1 + b2 =
6b1 + 1 + b2 =
6b2 + 1 * b2 = 7b2

Answer: 7b2.

Example of adding monomials with different exponents.

Add the following monomials with different exponents

14x3 + x3 + x2

Solution.

14x3 + x3 + x2 =
(14x3 + x3) + x2 =
15x3 + x2

Answer: 15x3 + x2.

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

See the adding unlike monomials.

See the adding like monomials.