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Evaluate of the Following: (10.4)3 - Mathematics

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Question

Evaluate of the following: 

`(10.4)^3`

Answer in Brief

Solution

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

Given`(10.4)^3`

In order to find  `(10.4)^3` we are using identity  `(a+b^3) = a^3 +b^3 + 3ab(a+b)`

We can write `(10.4)^3` as  `(10+0.4)^3`

Hence where `a=10,b = 0.4`

 `(10.4)^3 = (10 +0.4)^3`

 `= (10)^3 + (0.4)^3 + 3 (10) (0.4)(10+0.4)` 

`= 1000 + 0 .064+ 12 xx 10.4`

`= 1000 + 0 .064 + 124.8`

`= 1000 +124.864`

` = 1124.864`

The value of `(10.4)^3` is 1124.864.

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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 11.4 | Page 20

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