Evalwa
2\left(x+2\right)
Espandi
2x+4
Graff
Sehem
Ikkupjat fuq il-klibbord
\frac{\frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}-\frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x-1 u x+1 huwa \left(x-1\right)\left(x+1\right). Immultiplika \frac{3x}{x-1} b'\frac{x+1}{x+1}. Immultiplika \frac{x}{x+1} b'\frac{x-1}{x-1}.
\frac{\frac{3x\left(x+1\right)-x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Billi \frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} u \frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.
\frac{\frac{3x^{2}+3x-x^{2}+x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Agħmel il-multiplikazzjonijiet fi 3x\left(x+1\right)-x\left(x-1\right).
\frac{\frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Ikkombina termini simili f'3x^{2}+3x-x^{2}+x.
\frac{\left(2x^{2}+4x\right)\left(x^{2}-1\right)}{\left(x-1\right)\left(x+1\right)x}
Iddividi \frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} b'\frac{x}{x^{2}-1} billi timmultiplika \frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} bir-reċiproku ta' \frac{x}{x^{2}-1}.
\frac{2x\left(x-1\right)\left(x+1\right)\left(x+2\right)}{x\left(x-1\right)\left(x+1\right)}
Iffattura l-espressjonijiet li mhumiex diġà fatturati.
2\left(x+2\right)
Annulla x\left(x-1\right)\left(x+1\right) fin-numeratur u d-denominatur.
2x+4
Espandi l-espressjoni.
\frac{\frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}-\frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x-1 u x+1 huwa \left(x-1\right)\left(x+1\right). Immultiplika \frac{3x}{x-1} b'\frac{x+1}{x+1}. Immultiplika \frac{x}{x+1} b'\frac{x-1}{x-1}.
\frac{\frac{3x\left(x+1\right)-x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Billi \frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} u \frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.
\frac{\frac{3x^{2}+3x-x^{2}+x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Agħmel il-multiplikazzjonijiet fi 3x\left(x+1\right)-x\left(x-1\right).
\frac{\frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Ikkombina termini simili f'3x^{2}+3x-x^{2}+x.
\frac{\left(2x^{2}+4x\right)\left(x^{2}-1\right)}{\left(x-1\right)\left(x+1\right)x}
Iddividi \frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} b'\frac{x}{x^{2}-1} billi timmultiplika \frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} bir-reċiproku ta' \frac{x}{x^{2}-1}.
\frac{2x\left(x-1\right)\left(x+1\right)\left(x+2\right)}{x\left(x-1\right)\left(x+1\right)}
Iffattura l-espressjonijiet li mhumiex diġà fatturati.
2\left(x+2\right)
Annulla x\left(x-1\right)\left(x+1\right) fin-numeratur u d-denominatur.
2x+4
Espandi l-espressjoni.
Eżempji
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrazzjoni
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Limiti
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