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Think of 2 apples + 3 bananas + 4 apples.
What can be added together?
6 apples + 3 bananas
6a+3b

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Q: What is 2a plus 3b plus 4a?
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2a plus 3b - 4a plus 5b?

8b -2a


Simplify 4a plus 7b plus 6a-3b-2a?

11a+7b-(3b-2a)


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2 x (2a + 3b - 6)


3a plus 3b-2a plus 5b?

3a + (3b - 2a) + 5b =3a + 3b - 2a + 5b =(3a - 2a) + (3b + 5b) =a + 8b


2A plus 3B times 2A - 3B?

2A plus 3B times 2A - 3B = 4A2 - 9B2; this is an example of the general formula (a + b)(a - b) = a2 - b2.


What are the values of a and b if 6 3 is the midpoint of the line joining 2a comma 2a-b to a-2b comma 4a plus 3b?

6 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2bAdding the two equations gives: 18 = 9a so that a = 2Substituting for a in the first gives 12 = 6 - 2b so that b = -36 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2bAdding the two equations gives: 18 = 9a so that a = 2Substituting for a in the first gives 12 = 6 - 2b so that b = -36 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2bAdding the two equations gives: 18 = 9a so that a = 2Substituting for a in the first gives 12 = 6 - 2b so that b = -36 is the average of 2a and a - 2b so 12 = 2a + a - 2b = 3a - 2b3 is the average of 2a - b and 4a + 3b so 6 = 2a - b + 4a + 3b = 6a + 2bAdding the two equations gives: 18 = 9a so that a = 2Substituting for a in the first gives 12 = 6 - 2b so that b = -3


What is the answer to 2a squared plus 7ab plus 3b squared?

(2a + b)(a + 3b)


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4a


What is 1a plus 2a plus 3b plus 4b and what is the answer?

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(6ab + 9b)/(2a + 3) = 3b(2a + 3)/(2a + 3) = 3b


What is 3a-5b plus 6b-2a plus 3b-7b?

add like terms: 3a -2a -5b + 6b +3b - 7b = a -3b