Question 540523
Use the foil method which is:
{{{ ( a + b )*( c + d ) = a*c + a*d + b*c + b*d }}}
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{{{ ( 2 - 3i )*( 1 - 4i ) = 2*1 - 2*(4i) - 1*(3i) + (-3i)*(-4i) }}}
Now you have to apply the rule: {{{ i^2 = -1 }}}
Also, (-)x(-) = (+)
{{{ ( 2 - 3i )*( 1 - 4i ) = 2 - 8i - 3i + 12*i^2 }}}
{{{ ( 2 - 3i )*( 1 - 4i ) = 2 - 8i - 3i + 12*(-1) }}}
{{{ ( 2 - 3i )*( 1 - 4i ) = 2 - 8i - 3i - 12 }}}
{{{ ( 2 - 3i )*( 1 - 4i ) = -10 - 11i }}}