Evalwa
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\left(\alpha +1\right)\left(\beta +1\right)}
Iddifferenzja w.r.t. α
\frac{\alpha ^{2}+2\alpha -\beta ^{2}-\beta +1}{\left(\beta +1\right)\left(\alpha +1\right)^{2}}
Sehem
Ikkupjat fuq il-klibbord
\frac{\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}+\frac{\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \beta +1 u \alpha +1 huwa \left(\alpha +1\right)\left(\beta +1\right). Immultiplika \frac{\alpha }{\beta +1} b'\frac{\alpha +1}{\alpha +1}. Immultiplika \frac{\beta }{\alpha +1} b'\frac{\beta +1}{\beta +1}.
\frac{\alpha \left(\alpha +1\right)+\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)}
Billi \frac{\alpha \left(\alpha +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} u \frac{\beta \left(\beta +1\right)}{\left(\alpha +1\right)\left(\beta +1\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\left(\alpha +1\right)\left(\beta +1\right)}
Agħmel il-multiplikazzjonijiet fi \alpha \left(\alpha +1\right)+\beta \left(\beta +1\right).
\frac{\alpha ^{2}+\alpha +\beta ^{2}+\beta }{\alpha \beta +\alpha +\beta +1}
Espandi \left(\alpha +1\right)\left(\beta +1\right).
Eżempji
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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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