\left. \begin{array} { l } { 3 x ^ { 2 } + 3 x - 1 } \\ { - 10 x + 5 } \\ { x ^ { 3 } - 1 } \\ { 5 x + 10 } \end{array} \right.
Lluosrif Cyffredin Lleiaf
5\left(2x-1\right)\left(x+2\right)\left(3x^{2}+3x-1\right)\left(x^{3}-1\right)
Enrhifo
3x^{2}+3x-1,\ 5-10x,\ x^{3}-1,\ 5x+10
Graff
Rhannu
Copïo i clipfwrdd
3x^{2}+3x-1=3\left(x-\left(-\frac{1}{6}\sqrt{21}-\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{21}-\frac{1}{2}\right)\right) -10x+5=5\left(-2x+1\right) x^{3}-1=\left(x-1\right)\left(x^{2}+x+1\right) 5x+10=5\left(x+2\right)
Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.
15\left(x-1\right)\left(2x-1\right)\left(x+2\right)\left(x-\left(-\frac{\sqrt{21}}{6}-\frac{1}{2}\right)\right)\left(x-\left(\frac{\sqrt{21}}{6}-\frac{1}{2}\right)\right)\left(x^{2}+x+1\right)
Nodwch yr holl ffactorau a’u pŵer uchaf ym mhob mynegiad. Lluoswch pwerau uchaf y ffactorau hyn i gael y lluoswm cyffredin lleiaf.
30x^{7}+75x^{6}+5x^{5}-75x^{4}-65x^{3}-5x^{2}+45x-10
Ehangwch y mynegiad.
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}