Question

Factor the following polynomial completely.

-x^2y^2 + x^4 + 4y^2 - 4x^2

( x + 2)( x + 2)( x + y)( x - y)
( x - 2)( x - 2)( x + y)( x - y)
( x + 2)( x - 2)( x + y)( x - y)

Answer 1

First we can rearrange factor

Answer 2

ok

Answer 3

\[\large \bf x^4 -4x^2+4y^2 - x^2y^2\]
\[\large \bf x^2(x^2-4)+y^2(4-x^2)\]
\[\large \bf x^2(x^2-4)-y^2(x^2-4)\]
\[\large \bf (x^2-4)(x^2-y^2)\]
\[\large \bf (x-2)(x+2)(x-y)(x+y)\]

Answer 4

option C :)

Answer 5

In place of the second step + - come

Answer 6

Check now

Answer 7

I checked it, no error.
Could you write the equation?

Answer 8

+ not come into second step
direct -

Answer 9

I'm confused of 2nd step.

Answer 10

First, I take out the common factors.
In second step, I took out the `minus` outside so that I can factor out more common terms.

Answer 11

Ok - outside the factor.

Answer 12

Thank you

Answer 13

Yea, happy to help :)