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Question 84721: I need to remove the parentheses -(3x+5y)...What I did was =-(3x)+-(5y)=0x+0 But it doesn't match any of my multiple choice answers of:
(a)3x-5y
(b)-3x+5y
(c)-3x+y
(d)-3x-5y
Can someone help me out?? Please
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Given:
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-(3x+5y)
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The problem asks you to remove the parentheses.
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There are two rules for removing parentheses.
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The first rule says that if the parentheses have a + sign in front of them, you can just remove
the parentheses and the + sign and you keep the same signs of the terms inside the parentheses.
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Examples of the use of this rule:
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+(+3x - 6) = +3x - 6
+(-2x + 4) = -2x + 4
+(+4x + 6) = +4x + 6
+(-5x - 7) = -5x - 7
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The second rule says that if the parentheses have a - sign in front of them, you can just
remove the parentheses and the - sign, but you change the signs of the terms inside the
parentheses:
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Examples of the use of this rule:
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-(+3x - 6) = -3x + 6
-(-2x + 4) = +2x - 4
-(+4x + 6) = -4x - 6
-(-5x - 7) = +5x + 7
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Your problem uses the second rule. The problem asks you to remove the parentheses
from the expression -(+3x + 5y)
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Remove the minus sign in front of the parens, and erase the parens themselves. But you need
to change the signs of the terms inside the parentheses.
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-(+3x + 5y) = -3x - 5y
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So the answer is -3x - 5y
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Answer d is the correct answer.
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Hope this helps you to understand the two rules that govern the removal of parentheses.
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