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Product of Two Consecutive Even or Odd Natural Numbers

If a divides ...

Question

If a divides b then $a^{3}$ divides $b^{3}$ .

A

True

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B

False

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C

Ambiguous

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D

Insufficient information

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Solution

The correct option is A True
True

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a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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Q. Write true (T) or false (F) for the following statements:
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(ii) 8640 is not a perfect cube.
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(vi) If a and b are integers such that a² > b², then a³ > b³.
(vii) If a divides b, then a³ divides b³.
(viii) If a²ends in 9, then a³ ends in 7.
(ix) If a² ends in 5, then a³ ends in 25.
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a^{2} + 2 a b + b^{2}

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Product of Two Consecutive Even or Odd Natural Numbers

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