Question

Which statement best explains why the value of this expression is equal to −812y? 414x − 812y − 414x

A.When x = 0, the first and last terms are 0, so the value of the expression is −812y.
B.414 is half of 812, so the two 414's will cancel out 812.
C.The sum of a number and its opposite is 1, and the product of any number and 1 is the number itself.
D.The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.

Answer 1

For this case we have the following expression:
414x - 812y - 414x
Rewriting we have:
414x - 414x - 812y
We group similar terms:
(414x - 414x) - 812y
Adding we have:
0 - 812y
- 812y
Answer:
The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.