SOLUTION: (-6x(squared)+14x)-(-3x(squared)+5x)

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Question 110064: (-6x(squared)+14x)-(-3x(squared)+5x)
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
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%28-6x%5E2%2B14x%29-%28-3x%5E2%2B5x%29
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Two rules apply to this problem:
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1) If parentheses are preceded by a plus (+) sign (or an assumed + sign because there is no
sign) the parentheses can be removed without changing the signs of the terms they contain. And
.
2) If parentheses are preceded by a minus (-) sign they can be removed (along with the minus sign)
by changing the original signs of all the terms inside that set of parentheses.
.
So, In the given problem, the first set of parentheses has a presumed + sign. Therefore,
according to rule 1, the first set of parentheses can be removed without affecting the
signs of the terms inside. This changes the problem to:
.
-6x%5E2%2B14x-%28-3x%5E2%2B5x%29
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For the remaining set of parentheses, rule 2 applies because the parentheses are preceded by a
minus sign. Erase the minus sign and the parentheses and change the signs of the terms inside
the parentheses. When you do that you get:
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-6x%5E2%2B14x%2B3x%5E2-5x%29
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Now you can combine like terms. -6x%5E2 and %2B+3x%5E2 combine to give -3x%5E2 and
14x and -5x combine to 9x. The final result of this problem is:
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-3x%5E2+%2B+9x
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Hope this helps you to understand the process of solving this problem.