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What is the value of the expression given below? (5+3i)-(5+3i)(5-5i)
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What is the value of the expression given below? (5+3i)-(5+3i)(5-5i)

User Anthonyv
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1 Answer

1 vote

Answer:

-35 + 13i

Explanation:


i=√(-1)\to i^2=-1\\\\(5+3i)-(5+3i)(5-5i)\qquad\text{distribute}\\\\=(5+3i)(1-(5-5i))=(5+3i)(1-5-(-5i))=(5+3i)(-4+5i)\\\\\text{use}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5)(-4)+(5)(5i)+(3i)(-4)+(3i)(5i)\\\\=-20+25i-12i+15i^2=-20+13i+15(-1)\\\\=-20+13i-15=-35+13i

User Sam Rogers
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