Question

Divide and express the result in standard form. 8/7-i

Answer 1

assuming the problem is 8/(7-i) you would multiply the fraction by (7+i)/(7+i)
This would then simplify to 8(7+i)/50 which can be simplified down to 4(7+i)/25

Answer 2

`i=√(-1)\to i^2=-1\ (i-the\ imaginary\ unit)\\----------------------\\\\(8)/(7-i)\\\\use\ (a-b)(a+b)=a^2-b^2\\\\(8)/(7-i)\cdot(7+i)/(7+i)=(56+8i)/(7^2-i^2)=(56+8i)/(49-(-1))=(56+8i)/(49+1)=(56+8i)/(50)=(56)/(50)+(8)/(50)i\\\\=\boxed{(28)/(25)+(4)/(25)i}`