(2+3i)(2-3i)

((x+iy)/(2+3i)+(2+i)/(2-3i)=(9)/(13)(1+i)

Express the following in the form of a+ib (2+i)(2-3i)(4-3i)

Prove that the complex number (3+2i)/(2-3i) + (3-2i)/(2+3i) is purely real

Prove that the complex number ((3+2i)/(2-3i)) + ((3-2i)/(2+ 3i)) is purely real.

Prove that the complex number ((3+2i)/(2-3i)) + ((3-2i)/(2+ 3i)) is purely real.

Prove that the following complex numbers are purely real: (i) ((2+3i)/(3+4i))((2-3i)/(3-4i)) (ii) ((3+2i)/(2-3i))((3-2i)/(2+3i))

Find the real value of x and y if ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i

Find the real values of x and y,quad if :((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=

Show that (i)" "{((3+2i))/((2-3i))+((3-2i))/((2+3i))} is purely real, (ii)" "{((sqrt(7)+i sqrt(3)))/((sqrt(7)-i sqrt(3)))+((sqrt(7)- i sqrt(3)))/((sqrt(7) + i sqrt(3)))} is purely real.