Question

Упростите выражение:
((9 х-4) - х-4) : (х2 - 10х + 25 4х) =

Answer 1

$(frac{9}{x-4}-x-4):frac{x^2-10x+25}{4x}= frac{9-(x-4)(x+4)}{x-4}:frac{x^2-2*5x+5^2}{4x}= \ =frac{9-x^2+16}{x-4}:frac{(x-5)^2}{4x}=frac{25-x^2}{x-4}:frac{(x-5)^2}{4x}=frac{(5-x)(5+x)}{x-4}*frac{4x}{(x-5)^2}= \ =frac{-(x-5)(5+x)}{x-4}*frac{4x}{(x-5)^2}= frac{-4x(5+x)}{(x-4)(x-5)}$