For this case we must simplify the following expression:
[tex](\frac {3} {4} + \frac {4} {5} i) - (\frac {1} {2} - \frac {3} {10} i) =[/tex]
By law of multiplication signs we have to:
[tex]- * + = -\\- * - = +\\\frac {3} {4} + \frac {4} {5} i- \frac {1} {2} + \frac {3} {10} i =[/tex]
We add similar terms:
[tex]\frac {3} {4} - \frac {1} {2} + \frac {4} {5} i + \frac {3} {10} i =\\\frac {3 * 2-4 * 1} {4 * 2} + \frac {4 * 10 + 5 * 3} {10 * 5} i =\\\frac {2} {8} + \frac {55} {50} i =[/tex]
We simplify:
[tex]\frac{1}{4}+\frac{11}{10}i[/tex]
Answer:
[tex]\frac{1}{4}+\frac{11}{10}i[/tex]
