Wykonaj działania, jesli możesz[latex]frac{5x^2-125}{x^2+8x}:frac{5x-25}{x^2-64}; frac{x^3-8}{x^4-16}*frac{x^2+4}{x^2-4}; frac{4x+8}{x+6}:frac{20x+40}{x^2-36}[/latex]

[5x²-125]/[x²+8x] ; [5x-25]/[x²-64]=[5(x²-25)]/[x(x+8)] : [5(x-5)]/[(x-8)(x+8)]= =[5(x-5)(x+5)]/[x(x+8)]*[(x-8)(x+8)]/[5(x-5)]=(x+5)(x-8)/x D :5x-25≠0 x≠5     x≠-8  x≠8 D:x≠R-{-8,5,8} [x³-8]/[x^4-16]   *[x²+4]/[x²-4]=[(x-2)(x²+2x+4}/[(x²-4)(x²+4)] *[x²+4)/[(x-2)(x+2)= =[x²+2x+4]/[(x+2)²(x-2)] Dx∈R-{2} [4x+8]/[x+6] : [20x+40]/[x²-36]=[(4(x+2)/[x+6] : [20(x+2)]/[(x-6)(x+6)]= =[4(x+2)]/[x+6] *[(x-6)(x+6)]/[20(x=2)]=[x-6]/5 D x∈R-{-6,-2}