Express `(2+i)/((1+i)(1-2i))` in the form of `a+ib`. Find its modulus .

Express ( 1/3 + 4/3 i)^(2) in the form of a + ib.

Express ( 4 - 5/2 i)^(2) in the form of a + ib.

Express (1 -i)^(4) in the form of a +ib.

Express: ((1+i)^3)/(4+3i) in the form a+ib

Express (1- 2i)/(2+i) + (3+i)/(2-i) in the form a + bi

Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

Express the comple number ((1+sqrt(3)i)^(2))/(sqrt(3)-i) in the form of a+ib . Hence find the modulus and argument of the complex number.

Convert ((1)/(2)+2i)^(3) in the form of a+ib .

Convert ((2+3i)^(2))/(2-i) in the form of a+ib and find its conjugate.

Express 1/(1+cos theta-i sin theta) in the form of a +ib .