Write the expression in the standard form a+bi (showing all work)
(2-i)^3

Solution:

The standard form of complex number is: a + bi

where a is the real part and bi is the imaginary part

Given expression is:

Expand the above expression using algebraic identity

Thus on expanding using the above algebraic identity we get,

Simplify the above expression

We know that,

Substituting in above simplified expression, we get,

Thus the given expression is expressed in standard form