Perform the indicated operation. Express your answer in standard form.
${(3+8i)}^2$

Identify the real and imaginary parts of each complex number.

$3+2i\sqrt{3}$

Write the complex number in standard form.

$\frac{9+\sqrt{-16}}{3}$

Find the difference. Express your answer in standard form.

$(2+8i)-(4-i)$

Find the sum. Express your answer in standard form.

$5(4+7i)+6(3-2i)$

Find the product. Express your answer in standard form.

$2i(9-4i)(6+5i)$

Find the product of the given complex number and its conjugate.

$4-5i$

Find the product of the given complex number and its conjugate.

$-7-i$

Find the quotient. Express your answer in standard form.  

$\frac{6+i}{4-2i}$