Combine Like Terms 3a-%7B4a%2B3%5B2a-2(2a%2B3b)-(a-b)-6(a%2Bb)%5D-(7a-

Enter Terms

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Combine like terms for:

3a - %7B4a%2B3%5B2a - 2(2a%2B3b) - (a - b) - 6(a%2Bb)%5D - (7a - 6b)%7D

Simplify by removing parentheses
Simplify -2(2a%2B3b):
Distribute the -2 to each term in (2a%2B3b)
-2 * 2a%2B3b = (-2 * 2)b = -4ab
Our Total expanded term is -4ab

Simplify -(a - b):
Distribute the - to each term in (a-b)
- * a = (-1 * 1)a = -1a
- * -b = (-1 * -1)b = 1b
Our Total expanded term is -1a + 1b

Simplify -6(a%2Bb):
Distribute the -6 to each term in (a%2Bb)
-6 * a%2Bb = (-6 * 1)b = -6ab
Our Total expanded term is -6ab

Simplify -(7a - 6b):
Distribute the - to each term in (7a-6b)
- * 7a = (-1 * 7)a = -7a
- * -6b = (-1 * -6)b = 6b
Our Total expanded term is -7a + 6b

Our new term is
3a - %7B4a%2B3%5B2a - 4ab - 1a + 1b - 6ab%5D - 7a + 6b%7D

Evaluate the a terms:

3a + 4a + 2a + - 1a + - 7a

(3 + 4 + 2 - 1 - 7)a

1a

Evaluate the a terms:

-4a + - 6a

( - 4 - 6)a

-10a

Evaluate the b terms:

b + 1b + b + 6b

(1 + 1 + 1 + 6)b

9b

Combine like terms

a + 9b - 10

Analyze the 3 terms of the polynomial a + 9b - 10

Analyze Term 1

Term 1 is a

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is a
No exponent exists for this term

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Analyze Term 2

Term 2 is 9b

Our coefficient/constant is 9
Our variable is the letter which is b
No exponent exists for this term

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Analyze Term 3

Term 3 is -10

Our coefficient/constant is -10
This term has no variable, so it is a constant
No exponent exists for this term

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Determine the Degree of the Polynomial:

What is the Answer?

Since there is no coefficient
our coefficient is 1
Our variable is the letter which is a
No exponent exists for this term
Our coefficient/constant is 9
Our variable is the letter which is b
No exponent exists for this term
Our coefficient/constant is -10
This term has no variable, so it is a constant
No exponent exists for this term

How does the Polynomial Calculator work?

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.

What 2 formulas are used for the Polynomial Calculator?

For cxⁿ, 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

What 6 concepts are covered in the Polynomial Calculator?

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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