Combine Like Terms 3a-%7B4a%2B3%5B2a-2(2a%2B3b)-(a-b)-6(a%2Bb)%5D-(7a-
William Cox Enter Terms
Combine like terms for:
3a - %7B4a%2B3%5B2a - 2(2a%2B3b) - (a - b) - 6(a%2Bb)%5D - (7a - 6b)%7D
Simplify by removing parenthesesSimplify -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
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
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
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.
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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.
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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
