Enrhifo
\frac{5+3x-5x^{2}}{x^{2}\left(1-x^{2}\right)}
Gwahaniaethu w.r.t. x
\frac{-10x^{4}+9x^{3}+20x^{2}-3x-10}{x^{3}\left(x^{2}-1\right)^{2}}
Graff
Rhannu
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\frac{2}{x\left(x-1\right)}+\frac{5}{\left(-x+1\right)x^{2}}+\frac{3}{x^{2}-1}
Ffactora x^{2}-x. Ffactora x^{2}-x^{3}.
\frac{2x}{\left(x-1\right)x^{2}}+\frac{5\left(-1\right)}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin x\left(x-1\right) a \left(-x+1\right)x^{2} yw \left(x-1\right)x^{2}. Lluoswch \frac{2}{x\left(x-1\right)} â \frac{x}{x}. Lluoswch \frac{5}{\left(-x+1\right)x^{2}} â \frac{-1}{-1}.
\frac{2x+5\left(-1\right)}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
Gan fod gan \frac{2x}{\left(x-1\right)x^{2}} a \frac{5\left(-1\right)}{\left(x-1\right)x^{2}} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.
\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
Gwnewch y gwaith lluosi yn 2x+5\left(-1\right).
\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}
Ffactora x^{2}-1.
\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin \left(x-1\right)x^{2} a \left(x-1\right)\left(x+1\right) yw \left(x-1\right)\left(x+1\right)x^{2}. Lluoswch \frac{2x-5}{\left(x-1\right)x^{2}} â \frac{x+1}{x+1}. Lluoswch \frac{3}{\left(x-1\right)\left(x+1\right)} â \frac{x^{2}}{x^{2}}.
\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
Gan fod gan \frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} a \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.
\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
Gwnewch y gwaith lluosi yn \left(2x-5\right)\left(x+1\right)+3x^{2}.
\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}
Cyfuno termau tebyg yn 2x^{2}+2x-5x-5+3x^{2}.
\frac{5x^{2}-3x-5}{x^{4}-x^{2}}
Ehangu \left(x-1\right)\left(x+1\right)x^{2}.
Enghreifftiau
Hafaliad cwadratig
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometreg
4 \sin \theta \cos \theta = 2 \sin \theta
Hafaliad llinol
y = 3x + 4
Rhifyddeg
699 * 533
Matrics
\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]
Hafaliad ar y pryd
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Gwahaniaethu
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreiddiad
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}