Evalwa
\frac{4x^{2}-5x-4}{x\left(1-x\right)\left(x-2\right)}
Iddifferenzja w.r.t. x
\frac{8-24x+5x^{2}+10x^{3}-4x^{4}}{\left(1-x\right)\left(x-1\right)\left(x\left(x-2\right)\right)^{2}}
Graff
Sehem
Ikkupjat fuq il-klibbord
\frac{2\left(-x+1\right)}{x\left(-x+1\right)}+\frac{5x}{x\left(-x+1\right)}-\frac{1}{x-2}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u 1-x huwa x\left(-x+1\right). Immultiplika \frac{2}{x} b'\frac{-x+1}{-x+1}. Immultiplika \frac{5}{1-x} b'\frac{x}{x}.
\frac{2\left(-x+1\right)+5x}{x\left(-x+1\right)}-\frac{1}{x-2}
Billi \frac{2\left(-x+1\right)}{x\left(-x+1\right)} u \frac{5x}{x\left(-x+1\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.
\frac{-2x+2+5x}{x\left(-x+1\right)}-\frac{1}{x-2}
Agħmel il-multiplikazzjonijiet fi 2\left(-x+1\right)+5x.
\frac{3x+2}{x\left(-x+1\right)}-\frac{1}{x-2}
Ikkombina termini simili f'-2x+2+5x.
\frac{\left(3x+2\right)\left(x-2\right)}{x\left(x-2\right)\left(-x+1\right)}-\frac{x\left(-x+1\right)}{x\left(x-2\right)\left(-x+1\right)}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(-x+1\right) u x-2 huwa x\left(x-2\right)\left(-x+1\right). Immultiplika \frac{3x+2}{x\left(-x+1\right)} b'\frac{x-2}{x-2}. Immultiplika \frac{1}{x-2} b'\frac{x\left(-x+1\right)}{x\left(-x+1\right)}.
\frac{\left(3x+2\right)\left(x-2\right)-x\left(-x+1\right)}{x\left(x-2\right)\left(-x+1\right)}
Billi \frac{\left(3x+2\right)\left(x-2\right)}{x\left(x-2\right)\left(-x+1\right)} u \frac{x\left(-x+1\right)}{x\left(x-2\right)\left(-x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.
\frac{3x^{2}-6x+2x-4+x^{2}-x}{x\left(x-2\right)\left(-x+1\right)}
Agħmel il-multiplikazzjonijiet fi \left(3x+2\right)\left(x-2\right)-x\left(-x+1\right).
\frac{4x^{2}-5x-4}{x\left(x-2\right)\left(-x+1\right)}
Ikkombina termini simili f'3x^{2}-6x+2x-4+x^{2}-x.
\frac{4x^{2}-5x-4}{-x^{3}+3x^{2}-2x}
Espandi x\left(x-2\right)\left(-x+1\right).
Eżempji
Ekwazzjoni kwadratika
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrija
4 \sin \theta \cos \theta = 2 \sin \theta
Ekwazzjoni lineari
y = 3x + 4
Aritmetika
699 * 533
Matriċi
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Ekwazzjoni simultanja
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differenzazzjoni
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrazzjoni
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limiti
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}