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Forming Equation from Solution

Write the val...

Question

Write the value of 30³ + 20³ − 50³.

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Solution

The given expression is

Let, and. Then the given expression becomes

Note that

Recall the formula

When, this becomes

So, we have the new formula

, when.

Using the above formula, the value of the given expression is

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Similar questions

Evaluate: 30³ + 20³ – 50³.

30^{3} + 20^{3} - 50^{3}

Q. Without actually calculating the cubes, find the value of the following:

(30)^{3} + (20)^{3} + (- 50)^{3}

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Write the value of $25^{3} - 75^{3} + 50^{3} .$

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