Complete the following exercises by applying polynomial identities to complex numbers.

Factor x2 + 64. Check your work.
Factor 16x2 + 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 SOME HELP

Question

Complete the following exercises by applying polynomial identities to complex numbers.

Factor x2 + 64. Check your work.
Factor 16x2 + 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 SOME HELP

anonymous · Answer

@alec.mccarty

anonymous · Answer

$$x^2+64$$ has zeros that are easy to find 
$$x^2+64=0\
x^2=-64\
x=\pm\sqrt{-64}=\pm 8i$$

anonymous · Answer

therefore, over the complex numbers is factors as 
$$x^2+64=(x+8i)(x-8i)$$

anonymous · Answer

i love you thank you !