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Which of the following interpretations for the given expression is correct?

the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y
the difference of the cube of 5 times the square of y and 7 divided by 2 times the square of y
the cube of the difference of the square of 5 times y and 7 divided by the square of 2 times y
the cube of the difference of 5 times the square of y and 7 divided by 2 times the square of y

User Amdn
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2 Answers

2 votes

Answer:

The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.

Explanation:

The give expression is:


((5y^(2)-7)^(3) )/((2y)^(2) )

In words, this expression would have all these statement referring to each operation:

  1. The cube of the difference, because the difference is inside the cubic power.
  2. Of 5 times the square of y and 7, because these are the terms that are being subtracted.
  3. Divided by, because the expression described before is in a quotient.
  4. The square of two times y, because the both factor are inside the squared power.

Therefore, the first statement is correct.

User Saurel
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7.9k points
3 votes
The expression is
(5y² -7)³/(2y)²
I believe the best answer is the first option; the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.
User Artem Luzhanovskyi
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8.6k points

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