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If a + B = 8 and Ab = 6, Find the Value of A3 + B3 - Mathematics

Answer in Brief

If a + b = 8 and ab = 6, 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 = 8.ab = 6`

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

`a^3 + b^3 = (a+b)^3- 3ab (a+b)`

`a^3 +b^3 = a(8)^3 - 3 3 xx 6 (8)`

`a^3 +b^3 = 512 - 144`

`a^3+b^3 = 368`

Hence the value of i`a^3 +b^3` is 368 .

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.4 | Q 4 | Page 25
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