Mathematics, 18.11.2020 17:30, giovney
Does anyone has Algebra ll and if so can you please help me with this problem 5i/-2-6i And also I can't pay you but I hope God can give more good luck
Answers: 3
, we proceed to simplify the expression as follows:
Given.
Definition of division.![[(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}]](/tpl/images/0908/7898/71e47.png)
Modulative and associative properties/Existence of the additive inverser![[(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}]](/tpl/images/0908/7898/ac8ff.png)
Commutative and associative properties.![[(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}](/tpl/images/0908/7898/39e2b.png)
![[(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}](/tpl/images/0908/7898/3321c.png)
/Definition of complex number/ 
![[(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}](/tpl/images/0908/7898/5edb1.png)
Definition of sum.
Commutative properties/Definition of complex number/ 
Distributive property.
Definition of division/Result.
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