perform the indicated operations and if possible simplify

Question

((x^2-4x-21)/(7x))  /  ((x+3)/(x+7)) * ((x^2-7x)/(x^2-14x+49))

a (x+7)/7

b (x-7)/x

c (x+3)/x

d (x+7)/3

Answer 1

yu need tu add brakets so sumwon kan tell wot on top & wot on bottom

x^2-14x+49=(x-7)^2

x^2-7x...x(x-7)

x^2 -4x-21...(x-7)*(x+3)

Answer 2

((x^2-4x-21)/(7x))  /  ((x+3)/(x+7)) * ((x^2-7x)/(x^2-14x+49))

((x + 3)((x - 7)/7x)  /  ((x + 3)(x + 7)) * (((x(x -7))/(x - 7)^2))  first step take out the (x + 3)

((x-7)/7x)  / (x + 7) * (((x(x - 7)/(x - 7)^2))   step two remove the (x - 7) (Second factor)

(x-7)/7x / (x + 7)x/(x - 7)) step three   flip the second factor and multiply

(x-7)/7x * (x-7)/(x+7)x

(x - 7)^2/7x^2(x + 7)

Answer 3

Given ((x^2-4x-21)/(7x))/((x+3)/(x+7)) * ((x^2-7x)/(x^2-14x+49))
[(x+7)(x^2-7x)(x^2-4x-21)]/[7x(x+3)(x^2-14x+49)]
(x+7)/7