Question

Using identity find (103)the whole cube

Answer 1

• (103)^3 = ?

= (103)^3 = (100+3)^3

As we know that, (a+b)^3 = a^3 + b^3 + 3ab(a+b) .

here, a = 100 & b = 3 .
So,

= (100+3)^3 = 100^3 + 3^3 + 3(100)(3)(100+3)

= (103)^3 = 1000000 + 27 + 900(103)

= (103)^3 = 1000000 + 27 + 92700

= (103)^3 = 1092727