How do you expand (1-0.1)^3(10.1)3?

1 Answer
Aug 24, 2016

See the Explanation below.

Explanation:

Let us recall the Expansion Formula

: (x-y)^3=x^3-y^3-3xy(x-y):(xy)3=x3y33xy(xy).

Hence, with x=1, y=0.1x=1,y=0.1, we have,

(1-0.1)^3=1^3-(0.1)^3-3(1)(0.1)(1-0.1)(10.1)3=13(0.1)33(1)(0.1)(10.1)

=1.000-0.001-0.3(1-0.1)=1.0000.0010.3(10.1)

=1.000-0.001-0.300+0.030=1.0000.0010.300+0.030

=1.030-0.301=1.0300.301

=0.729=0.729

:. (1-0.1)^3=0.729