4x2+2x−24\frac{4}{x^2+2x-24}x2+2x−244
limx→4(x2−x−15x2−4x−3)\lim_{x\to4}\left(\frac{x^2-x-15}{x^2-4x-3}\right)x→4lim(x2−4x−3x2−x−15)
25m2n+(−4m2)+8m2n\frac{2}{5}m^2n+\left(-4m^2\right)+8m^2n52m2n+(−4m2)+8m2n
−8−17x+4x32x2−5\frac{-8-17x+4x^3}{2x^2-5}2x2−5−8−17x+4x3
(x+100)5\left(x+100\right)^5(x+100)5
cot(x2)=sin(x)1−cos(x)\cot\left(\frac{x}{2}\right)=\frac{\sin\left(x\right)}{1-\cos\left(x\right)}cot(2x)=1−cos(x)sin(x)
64n27−14n9+1\frac{64n^{27}-1}{4n^9+1}4n9+164n27−1
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