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Evaluate of the Following: 933 − 1073 - Mathematics

Answer in Brief

Evaluate of the following:

933 − 1073

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Solution

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

Given 933 − 1073 

We can write 933 − 1073 as  `(100 - 7)^3 - (100 + 7)^3`

We shall use the identity  `(a-b)^3 - (a+b)^3 = -2 [b^3 + 3a^2b]`

Here  a=100,b =7

933 − 1073   ` = (100-7)^3 - (100+ 7)^3`

                     ` = -2 [7^3 + 3 (7) (100)^2]`

                     ` = -2[343 + 21 xx 10000]`

                     ` = -2[343 + 210000]`

                     ` = -2[210343]`

                    `  = - 420686`

Hence the value of 933 − 1073  is -420686.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.3 | Q 12.4 | Page 20
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