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Evaluate of the Following: (103)3 - Mathematics

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Question

Evaluate of the following:

(103)3

Answer in Brief

Solution

In the given problem, we have to find the value of numbers

Given `(130)^3`

In order to find  `(130)^3` we are using identity `(a+b)^3 = a^3 + b^3 + 3ab(a+b)`

We can write `(130)^3`as `(100+3)^3`

Hence where   a = 100 ,b = 3

`(130)^3 = (100 + 3)^3`

           ` =(100)^3 + (3)^3 + 3(100)(3)(100+3)`

           ` = 1000000 + 27 + 900 xx 103`

           `= 1000000 + 27 + 92700`

          ` = 1092727`

The value of  `(130)^3` is ` = 1092727`

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Chapter 4: Algebraic Identities - Exercise 4.3 [Page 20]

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RD Sharma Mathematics [English] Class 9
Chapter 4 Algebraic Identities
Exercise 4.3 | Q 11.1 | Page 20

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