Question 243656
{{{(7+9i)*(2-5i)}}} Start with the given expression.



{{{(7)(2)+(7)(-5i)+(9i)(2)+(9i)(-5i)}}} FOIL.



{{{14-35i+18i-45i^2}}} Multiply.



{{{14-35i+18i-45(-1)}}} Replace {{{i^2}}} with {{{-1}}}. Note: {{{i^2=-1}}}.



{{{14-35i+18i+45}}} Multiply.



{{{59-17i}}} Combine like terms.



So {{{(7+9i)*(2-5i)=59-17i}}}.



So the expression is now in standard form {{{a+bi}}} where {{{a=59}}} and {{{b=-17}}}