find the values of using suitable identity 103 cube - Maths - Polynomials

Question

find the values of using suitable identity 103 cube

Karn Kavathia · Accepted Answer

Hi Pramath,
you can use IDENTITY NO:- 6 that is, (x+y)3 =
x3 + y3+ 3x2y +
3xy2
so, x= 100
y=3
therefore,(100)3+ (3)3+ 3*
(100)2* 3 + 3*100* (3)2
= 1000000+27+90000+2700 = 1092727
and for checking,
(103)3=103 * 103 * 103 =10609 * 103 = 1092727