Combine Like Terms 3a-{4a+3[2a-2(2a+3b)-(a-b)-6(a+b)]-(7a-6b)}
-(a-b)-6(a%2Bb)%5D-(7a-6b)%7D&pl=Combine+Like+Terms)
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Combine like terms for:
3a - {4a + 3[2a - 2(2a + 3b) - (a - b) - 6(a + b)] - (7a - 6b)}
Simplify by removing parenthesesSimplify -2(2a + 3b):
Distribute the -2 to each term in (2a+3b)
-2 * 2a = (-2 * 2)a = -4a
-2 * 3b = (-2 * 3)b = -6b
Our Total expanded term is -4a-6b
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 + b):
Distribute the -6 to each term in (a+b)
-6 * a = (-6 * 1)a = -6a
-6 * b = (-6 * 1)b = -6b
Our Total expanded term is -6a-6b
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 - {4a + 3[2a - 4a - 6b - 1a + 1b - 6a - 6b] - 7a + 6b}
Evaluate the a terms:
3a + 4a + 2a + - 4a + - 1a + - 6a + - 7a
(3 + 4 + 2 - 4 - 1 - 6 - 7)a
-9a
Evaluate the b terms:
-6b + 1b + - 6b + 6b
( - 6 + 1 - 6 + 6)b
-5b
Combine like terms
-9a - 5b
Analyze the 2 terms of the polynomial -9a - 5b
Analyze Term 1
Term 1 is -9a
Our coefficient/constant is -9
Our variable is the letter which is a
No exponent exists for this term
Analyze Term 2
Term 2 is -5b
Our coefficient/constant is -5
Our variable is the letter which is b
No exponent exists for this term
Determine the Degree of the Polynomial:
What is the Answer?
Our coefficient/constant is -9
Our variable is the letter which is a
No exponent exists for this term
Our coefficient/constant is -5
Our variable is the letter which is b
No exponent exists for this term
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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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constanta value that always assumes the same value independent of how its parameters are variedexponentThe power to raise a numberexpressionfinite combination of symbolspolynomialan expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).terma single number or variable, or numbers and variables multiplied togethervariableAlphabetic character representing a numberExample calculations for the Polynomial Calculator
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