Reduce `(1+i)^3/(2+3i)`to the form A + iB

Reduce to the form A + IB ((1-i)^2-(1+i)^2)/((1-i)^3+(1+i)^3)

Reduce to the standard form (1/(1-4i)-2/(1+i))((3-4i)/(5+i)) .

Reduce the equation 3x-2y+6=0 to the intercept form and find the x and y intercepts.

Express (-1+i) in polar form.

If z=(3+4i)/(5i) then find zbar z

In z=5/(1-3i) then find z.bar z .

Reduce the equation of a plane 6x + 3y - 2z = 14 to its normal form.

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(i)If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1.It becomes 1/2 if we only add 1 to the denominator.What is the fraction?

If a,b, x in R and (1-ix)/(1+ix)=a+ib ,then prove that a^2+b^2=1

If z=(3+4i)/i ,then find |z|