Question

evaluate using identity
(105)³​

Answer 1

Answer:

(100+5)^3

(100)^3+(5)^3+3×100×5(100+5)

1000000+125+1500(100+5)

1000000+125+15700

1017622

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

The presented information is $105^{3}$.

We need to evaluate using identity (105)³​.

As a result, the evaluation of given equation is as follow,

We can write the given equation as follow,

$105^{3}=(100+5)^{3}$

Identity is comparing one equation with other we get,

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

Substitute the value in above equation we get,

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

Hence we get the value as 1157625.