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If a + B = 10 and Ab = 21, Find the Value of A3 + B3 - Mathematics

Answer in Brief

If a + b = 10 and ab = 21, find the value of a3 + b3

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Solution

In the given problem, we have to find the value of  `a^3 + b^3`

Given `a+b = 10, ab = 21`

We shall use the identity `(a+b)^3 = a^3 +b^3 +3ab(a+b)`

Here putting, `a+b = 10,ab= 21`

`(10)^3 = a^3+ b^3 +3 (21)(10)`

` 1000 = a^3 +b^3 +630`

`1000 - 630 = a^3 +b^3`

  `370 = a^3 + b^3`

Hence the value of  `a^3 +b^3` is  370.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.3 | Q 2 | Page 19
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