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Evacuate the following using suitable identities (102)^3

Sagot :

The value of [tex](102)^3[/tex] exists 1061208.

How to estimate the value of [tex](102)^3[/tex]?

Let us rewrite [tex](102)^3[/tex] as [tex](100+2)^3[/tex]

Now utilizing the identity [tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex], we get

a = 100 and b = 2 then substitute the values of a and b then

[tex](100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)][/tex]

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, [tex](102)^3=1061208[/tex]

Therefore, the value of [tex](102)^3[/tex] exists 1061208.

To learn more about cubic polynomial equation refer to:

https://brainly.com/question/28181089

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