Multiply and simplify:

Question

Multiply and simplify:

( ( x*x - 4*x ) / ( 4*x ) ) * ( 1 / ( 16 - x*x ) )

Answer 1

[(x^2-4x)/(4x)]*(1/(16-x^2)

[x(x-4)/(4x)]*(1/[4-x][4+x])

[(x-4)/4]*(-1/[x-4][x+4]) (x was eliminated from the first fraction)

now eliminate x-4 from the numerator of the first fraction and the denominator of the second fraction

(1/4)(-1/x+4)

-1/4(x+4)  (answer)