Question

Factor x^2 + 64. Check your work.
Factor 16x^2 + 49. Check your work.
Find the product of (x + 9i)^2
Find the product of (x – 2i)^2
Find the product of (x + (3+5i))^2
Please help asap!

Answer 1

\[x^2+64=x^2-(-64)=x^2-64\iota^2=x^2-\left( 8\iota \right)^2=\left( x+8\iota \right)\left( x-8\iota \right)\]

Answer 2

is that x^2+64 completely factored?

Answer 3

Are you sure it's not 16^2 - 49?

Answer 4

(x + 9i)^2 = x^2 + 18ix + 81i