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

Question 110064: (-6x(squared)+14x)-(-3x(squared)+5x)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Two rules apply to this problem:
.
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:
.

.
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:
.

.
Now you can combine like terms. and combine to give and
and combine to . The final result of this problem is:
.

.
Hope this helps you to understand the process of solving this problem.

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