Question

Evaluate using identities 105³

Answer 1

(100+5)^3
100^3+5^3+3×100×5(105)
1000000+125+1500(105)
1157625

Answer 2

The given data in the above question,

It is given that the value is $105^{3}$

we have to Evaluate using identities 105³.

Thus, evaluation of the given value we get,

$(x+y)^{3}=x^{3}+y^{3}+3 x y(x+y)$

comparing with the identities we get,

$\begin{aligned}=&(100)^{3}+(5)^{3}+3(100)(5)(100+5) \\&=1000000+125+1500(105) \\&=1000000+125+157500 \\&=1157625\end{aligned}$

Hence we get the value as 1157625.