Perform the indicated operation. Express your answer in standard form. $\(\left\)(3+8i\(\right\))^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. $\(\left\)(2+8i\(\right\))-\(\left\)(4-i\(\right\))$

Find the sum. Express your answer in standard form. $5\(\left\)(4+7i\(\right\))+6\(\left\)(3-2i\(\right\))$

Find the product. Express your answer in standard form. $2i\(\left\)(9-4i\(\right\))\(\left\)(6+5i\(\right\))$

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.  

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