Combine like terms for:

6a(3a^{2}b^{2} - 7x^{4}y^{5})

Simplify 6a(3a

Distribute the 6a to each term in (3a^2b^2-7x^4y^5)

6a * 3a

6a * -7x

Our Total expanded term is 18a

Our new term is

18a

18a^{3} ← There is only one a^{3} term

b^{2} ← There is only one b^{2} term

-42ax^{4} ← There is only one ax^{4} term

y^{5} ← There is only one y^{5} term

**y ^{5} - 42ax^{4} + 18a^{3} + b^{2}**

Analyze the 4 terms of the polynomial y^{5} - 42ax^{4} + 18a^{3} + b^{2}

Term 1 is y^{5}

Since there is no coefficient

our coefficient is 1

Our variable piece is y

Raise our variable to the power of 5

Term 2 is -42ax^{4}

Our coefficient/constant is -42

Our variable piece is ax

Raise our variable to the power of 4

Term 3 is 18a^{3}

Our coefficient/constant is 18

Our variable piece is a

Raise our variable to the power of 3

Term 4 is b^{2}

Since there is no coefficient

our coefficient is 1

Our variable piece is b

Raise our variable to the power of 2

Highest exponent for y = 5

Highest exponent for ax = 4

Highest exponent for a = 3

Highest exponent for b = 2

Since there is no coefficient

our coefficient is 1

Our variable piece is y

Raise our variable to the power of 5

Our coefficient/constant is -42

Our variable piece is ax

Raise our variable to the power of 4

Our coefficient/constant is 18

Our variable piece is a

Raise our variable to the power of 3

Since there is no coefficient

our coefficient is 1

Our variable piece is b

Raise our variable to the power of 2

our coefficient is 1

Our variable piece is y

Raise our variable to the power of 5

Our coefficient/constant is -42

Our variable piece is ax

Raise our variable to the power of 4

Our coefficient/constant is 18

Our variable piece is a

Raise our variable to the power of 3

Since there is no coefficient

our coefficient is 1

Our variable piece is b

Raise our variable to the power of 2

Free Polynomial Calculator - This calculator will take an expression without division signs and combine like terms.

It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.

This calculator has 1 input.

It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.

This calculator has 1 input.

For cx^{n}, we have c as our constant, x as our variable, n as our exponent.

Variables can be any letter but e or i.

For more math formulas, check out our Formula Dossier

Variables can be any letter but e or i.

For more math formulas, check out our Formula Dossier

- constant
- a value that always assumes the same value independent of how its parameters are varied
- exponent
- The power to raise a number
- expression
- finite combination of symbols
- polynomial
- an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
- term
- a single number or variable, or numbers and variables multiplied together
- variable
- Alphabetic character representing a number

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