Evalwa
\frac{4}{y}
Espandi
\frac{4}{y}
Sehem
Ikkupjat fuq il-klibbord
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Iffattura x^{2}-4xy. Iffattura x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x-4y\right) u x\left(x+4y\right) huwa x\left(x-4y\right)\left(x+4y\right). Immultiplika \frac{x+4y}{x\left(x-4y\right)} b'\frac{x+4y}{x+4y}. Immultiplika \frac{x-4y}{x\left(x+4y\right)} b'\frac{x-4y}{x-4y}.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Billi \frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} u \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Agħmel il-multiplikazzjonijiet fi \left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right).
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Ikkombina termini simili f'x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Annulla x fin-numeratur u d-denominatur.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
Iddividi \frac{16y}{\left(x-4y\right)\left(x+4y\right)} b'\frac{4y^{2}}{x^{2}-16y^{2}} billi timmultiplika \frac{16y}{\left(x-4y\right)\left(x+4y\right)} bir-reċiproku ta' \frac{4y^{2}}{x^{2}-16y^{2}}.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Annulla 4y fin-numeratur u d-denominatur.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Iffattura l-espressjonijiet li mhumiex diġà fatturati.
\frac{4}{y}
Annulla \left(x-4y\right)\left(x+4y\right) fin-numeratur u d-denominatur.
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Iffattura x^{2}-4xy. Iffattura x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x-4y\right) u x\left(x+4y\right) huwa x\left(x-4y\right)\left(x+4y\right). Immultiplika \frac{x+4y}{x\left(x-4y\right)} b'\frac{x+4y}{x+4y}. Immultiplika \frac{x-4y}{x\left(x+4y\right)} b'\frac{x-4y}{x-4y}.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Billi \frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} u \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Agħmel il-multiplikazzjonijiet fi \left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right).
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Ikkombina termini simili f'x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Annulla x fin-numeratur u d-denominatur.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
Iddividi \frac{16y}{\left(x-4y\right)\left(x+4y\right)} b'\frac{4y^{2}}{x^{2}-16y^{2}} billi timmultiplika \frac{16y}{\left(x-4y\right)\left(x+4y\right)} bir-reċiproku ta' \frac{4y^{2}}{x^{2}-16y^{2}}.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Annulla 4y fin-numeratur u d-denominatur.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Iffattura l-espressjonijiet li mhumiex diġà fatturati.
\frac{4}{y}
Annulla \left(x-4y\right)\left(x+4y\right) fin-numeratur u d-denominatur.
Eżempji
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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
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Differenzazzjoni
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrazzjoni
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limiti
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