Answer:
Proven
Step-by-step explanation:
We prove the polynomial with factorization. We must first simplify the expression before we can factorize:
[tex](4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}[/tex]
[tex]16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}[/tex]
[tex]4-16\cdot{x^2}[/tex]
4 is the common number and we can take it out of the expression:
[tex]4\cdot{(1-4\cdot{x^2})}[/tex]
We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:
[tex]4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}[/tex]
