Enrhifo
\frac{10+23x-6x^{2}}{\left(x-3\right)\left(x+2\right)}
Gwahaniaethu w.r.t. x
\frac{-17x^{2}+52x-128}{\left(\left(x-3\right)\left(x+2\right)\right)^{2}}
Graff
Rhannu
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\frac{5\left(x+2\right)}{\left(x-3\right)\left(x+2\right)}-\frac{6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}
I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin x-3 a x+2 yw \left(x-3\right)\left(x+2\right). Lluoswch \frac{5}{x-3} â \frac{x+2}{x+2}. Lluoswch \frac{6x}{x+2} â \frac{x-3}{x-3}.
\frac{5\left(x+2\right)-6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}
Gan fod gan \frac{5\left(x+2\right)}{\left(x-3\right)\left(x+2\right)} a \frac{6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.
\frac{5x+10-6x^{2}+18x}{\left(x-3\right)\left(x+2\right)}
Gwnewch y gwaith lluosi yn 5\left(x+2\right)-6x\left(x-3\right).
\frac{23x+10-6x^{2}}{\left(x-3\right)\left(x+2\right)}
Cyfuno termau tebyg yn 5x+10-6x^{2}+18x.
\frac{23x+10-6x^{2}}{x^{2}-x-6}
Ehangu \left(x-3\right)\left(x+2\right).
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}