Evaluate the following:
$${46}^{3}+{34}^{3}$$
Correct option is A. 136640
Given,
$$46^3+34^3$$
Formula: $$(a+b)^3=a^3+3ab(a+b)+b^3$$
$$\Rightarrow (46+34)^3=46^3+34^3+3(46)(34)(46+34)$$
$$\Rightarrow 512000=46^3+34^3+375360$$
$$\Rightarrow 46^3+34^3=136640$$