Question

1. (2x2 + y)(2x2 - y)
2. 4(2x2 + y)(2x2 - y)
3. (x + 4y)(x - 4y)
4. 4(x + 4y)(x - 4y)
5. prime

a. Factor x2 - 16y2
b. Factor 4x4 - y2
c. Factor 4x2 - 64y2
d. Factor 9x2 - 8y2
e. Factor 16x4 - 4y2

Can someone please help me with this?!?!?!

Answer 1

What's number 5?

Answer 2

I can do the first two for you of each 1-5 and a and b. You can figure out the rest from there, hopefully.

Answer 3

1. (2x2 + y)(2x2 - y)
This is a called a "difference of squares", something in the form of (ax2 + x)(ax2 - x)
can simply be written as: \[\left( ax - x \right)^{2}\]

With that being said, we can say that the first problem is simply: \[\left( 2x - y \right)^{2}\]

2. Same thing, just leave the 4 outside:
\[4* \left( 2x-y \right)^{2}\]

Hopefully you can see the pattern.

a) x2 - 16y2.
(x-4y)(x+4y)

b) 4x4 - y^2
(2x2 - y)(2x2 + y)