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

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Answer 1 · 2016-08-24T18:11:18

See the Explanation below.

Let us recall the Expansion Formula

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

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

#(1-0.1)^3=1^3-(0.1)^3-3(1)(0.1)(1-0.1)#

#=1.000-0.001-0.3(1-0.1)#

#=1.000-0.001-0.300+0.030#

#=1.030-0.301#

#=0.729#

#:. (1-0.1)^3=0.729#