-(1-x^2)*2(1+x^2)*2x?

Question

please show steps.

how far can this be reduced?

Answer 1

-(1-x²)*2(1+x²)*2x

4x(x² - 1)(x² + 1)

4x(x - 1)(x + 1)(x² + 1)

that's about as far as it goes without getting into complex imaginary numbers.

.

Answer 2

-(1-x^2)*2(1+x^2)*2x

= -(1-x^2)(1+x^2)*2*2x   (commutative property)

= -((1-x^2)(1+x^2))*2*2x    (associative property)

= -(1-x^4)*2*2x

= -(2-2x^4)*2x

= -(4x-4x^5)

= 4x^5 - 4x