Question

Simplify
2x(x^2-16)/x(16-x^2)

Answer 1

\[\frac{x^2-16}{16-x^2}=-1\] is a start

Answer 2

\[2 (16-x^2) (x^2-16)\]

Answer 3

thats wrong

Answer 4

the answer -2

Answer 5

lol, prolly

Answer 6

Yes -2 is the correct answer. First factorise the terms in numerator and denominator that are the difference of two squares:\[(2x(x-4)(x+4))\div(x(4-x)(x+4))\]

Answer 7

The previous expression simplifies to:
\[(2x ^{2}-8x)\div(-x ^{2}+4)=(2(x ^{2}-4))\div(-x ^{2}+4)\]
Multipling numerator and denominator by -1 gives:
\[(-2(-x ^{2}+4))\div((-x ^{2}+4)=-2\]