Find the product of the given complex number and its conjugate. $4-5i$

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. $5\left(4+7i\right)+6\left(3-2i\right)$

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

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. $-7-i$

Find the quotient. Express your answer in standard form.  

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

Find the quotient. Express your answer in standard form. 

$\frac{-5+3i}{-7-4i}$

Identify the real and imaginary parts of each complex number. $-4-9i$