Izračunaj
\frac{2\left(x+3\right)}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Proširi
\frac{2\left(x+3\right)}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Grafikon
Dijeliti
Kopirano u međuspremnik
\frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}+\frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(x+1\right)\left(x+2\right) i \left(x+2\right)\left(x+5\right) jest \left(x+1\right)\left(x+2\right)\left(x+5\right). Pomnožite \frac{1}{\left(x+1\right)\left(x+2\right)} i \frac{x+5}{x+5}. Pomnožite \frac{1}{\left(x+2\right)\left(x+5\right)} i \frac{x+1}{x+1}.
\frac{x+5+x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Budući da \frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} i \frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{2x+6}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Kombinirajte slične izraze u x+5+x+1.
\frac{2x+6}{x^{3}+8x^{2}+17x+10}
Proširivanje broja \left(x+1\right)\left(x+2\right)\left(x+5\right).
\frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}+\frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Da biste zbrojili ili oduzeli izraze, proširite ih da bi imali iste nazivnike. Najmanji zajednički višekratnik brojeva \left(x+1\right)\left(x+2\right) i \left(x+2\right)\left(x+5\right) jest \left(x+1\right)\left(x+2\right)\left(x+5\right). Pomnožite \frac{1}{\left(x+1\right)\left(x+2\right)} i \frac{x+5}{x+5}. Pomnožite \frac{1}{\left(x+2\right)\left(x+5\right)} i \frac{x+1}{x+1}.
\frac{x+5+x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Budući da \frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} i \frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{2x+6}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}
Kombinirajte slične izraze u x+5+x+1.
\frac{2x+6}{x^{3}+8x^{2}+17x+10}
Proširivanje broja \left(x+1\right)\left(x+2\right)\left(x+5\right).
Primjerima
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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
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\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]
Istovremena jednadžba
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferencijacija
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integracija
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Granice
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}