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.

Question

Mathematics

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7 October, 16:14

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.

+1

Answers (1)

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Naima Parsons · 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.