College AlgebraWhat is an equivalent expression for the following equation without using parentheses? Explain Please. 1. -(x+2) 2.- (5x +2y +8)
You can think of that negative sign in front of the parenthesis as multiplying everything inside them by -1, then use the distributive property.
1. -(x + 2) = -1 * (x + 2) = -1*x + -1*2 = x - 2
2. -(5x + 2y + 8) = -1 * (5x + 2y + 8) = -1*5x + -1*2y + -1 * 8 = -5x - 2y - 8
2.- (5x +2y +8)
while opening paranthesis you need to remember that when you multiply the number outside the paranthesis into it then you first multiply the number and then you multiply the signs
- * - = +
- * += -
+ * +=+
just hope this helps.
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number one could be either -x + 2, or X-2
If you plug a number, 8 for example in place of x, you will get
Number two could be. -5x-2y-8, or
If you plug a number, 8 for example in place of x, and 7 for example in place of y, you would get
-5x-2y-8...-5(8)-2(7)-8 = -62
Take the negative sign on the outside and multiply the numbers inside the parenthesis by negative one.
1. -(x+2): You multiply -1*x making that -x, and then by 2 making that -2. Therefore, your answer= -x-2
2. -(5x+2y+8): Same concept. multiply -1 by 5x making it -5x, then multiply it by 2y making that -2y, and then multiply it by 8 making that -8. Your answer will come out to= -5x-2y-8.
Hope this helps!