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Question

Evaluate the following:
$${46}^{3}+{34}^{3}$$

A
136640
Solution
Verified by Toppr

Correct option is A. 136640
Given,

$$46^3+34^3$$

Formula: $$(a+b)^3=a^3+3ab(a+b)+b^3$$


$$\Rightarrow (46+34)^3=46^3+34^3+3(46)(34)(46+34)$$

$$\Rightarrow 512000=46^3+34^3+375360$$

$$\Rightarrow 46^3+34^3=136640$$

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