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29 January, 01:23

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.

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Answers (1)
  1. 29 January, 01:45
    0
    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.
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