Combine Like Terms 3a-{4a+3[2a-2(2a+3b)-(a-b)-6(a+b)]-(7a-6b)}
By David Perry
Enter Terms
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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