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Cube Numbers

Difference of...

Question

Difference of cubes of two terms is same as cube of difference of two terms.

A

True

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B

False

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Solution

The correct option is B
False

Let the two terms be $a$ and $b$

According to the given statement:

$a^{3} - b^{3} = (a - b)^{3}$ which is incorrect.

Correct relation is:

$a^{3} - b^{3} = (a - b)^{3} + 3 a b (a - b)$

Thus, the statement is false.

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Similar questions

Sum of cubes of two terms is same as cube of sum of two terms.

Q. Two APs have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their

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Q. Two A.P.s have the same common difference . The first term of one A.P. is 2 and that of the other is 7 . The difference between their 10^th terms is the same as the difference between their 21^stterms , which is the same as the difference between any two corresponding terms . Why ?

Q. Question 4
Two AP’s have the same common difference. The first term of one AP is 2 and that of the other is 7. The difference between their

10^{t h}

terms is the same as the difference between their

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Q. Consider Two A.P.s. The first term of one A.P. is 2 and that of other is 7. The difference between their

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