ປະເມີນ
\frac{2x^{2}+x+1}{\left(x+1\right)\left(x-1\right)^{2}}
ຂະຫຍາຍ
\frac{2x^{2}+x+1}{\left(x+1\right)\left(x-1\right)^{2}}
Graph
ແບ່ງປັນ
ສໍາເນົາຄລິບ
\frac{x}{\left(x-1\right)\left(x+1\right)}+\frac{x+1}{\left(x-1\right)^{2}}
ຕົວປະກອບ x^{2}-1.
\frac{x\left(x-1\right)}{\left(x+1\right)\left(x-1\right)^{2}}+\frac{\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)^{2}}
ເພື່ອເພີ່ມ ຫຼື ຫານນິພົດ, ໃຫ້ຂະຫຍາຍພວກມັນເພື່ອໃຫ້ຕົວຄູນມີຈຳນວນດຽວກັນ. ຈຳນວນຄູນທີ່ນິຍົມໜ້ອຍທີ່ສຸດຂອງ \left(x-1\right)\left(x+1\right) ກັບ \left(x-1\right)^{2} ແມ່ນ \left(x+1\right)\left(x-1\right)^{2}. ຄູນ \frac{x}{\left(x-1\right)\left(x+1\right)} ໃຫ້ກັບ \frac{x-1}{x-1}. ຄູນ \frac{x+1}{\left(x-1\right)^{2}} ໃຫ້ກັບ \frac{x+1}{x+1}.
\frac{x\left(x-1\right)+\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)^{2}}
ເນື່ອງຈາກ \frac{x\left(x-1\right)}{\left(x+1\right)\left(x-1\right)^{2}} ແລະ \frac{\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)^{2}} ມີຕົວຫານດຽວກັນ, ໃຫ້ເພີ່ມພວກມັນໂດຍການເພີ່ມຈຳນວນທີ່ເປັນເສດໃນເລກເສດສ່ວນຂອງພວກມັນ.
\frac{x^{2}-x+x^{2}+x+x+1}{\left(x+1\right)\left(x-1\right)^{2}}
ຄູນໃນເສດສ່ວນ x\left(x-1\right)+\left(x+1\right)\left(x+1\right).
\frac{2x^{2}+x+1}{\left(x+1\right)\left(x-1\right)^{2}}
ຮວມຂໍ້ກຳນົດໃນ x^{2}-x+x^{2}+x+x+1.
\frac{2x^{2}+x+1}{x^{3}-x^{2}-x+1}
ຂະຫຍາຍ \left(x+1\right)\left(x-1\right)^{2}.
\frac{x}{\left(x-1\right)\left(x+1\right)}+\frac{x+1}{\left(x-1\right)^{2}}
ຕົວປະກອບ x^{2}-1.
\frac{x\left(x-1\right)}{\left(x+1\right)\left(x-1\right)^{2}}+\frac{\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)^{2}}
ເພື່ອເພີ່ມ ຫຼື ຫານນິພົດ, ໃຫ້ຂະຫຍາຍພວກມັນເພື່ອໃຫ້ຕົວຄູນມີຈຳນວນດຽວກັນ. ຈຳນວນຄູນທີ່ນິຍົມໜ້ອຍທີ່ສຸດຂອງ \left(x-1\right)\left(x+1\right) ກັບ \left(x-1\right)^{2} ແມ່ນ \left(x+1\right)\left(x-1\right)^{2}. ຄູນ \frac{x}{\left(x-1\right)\left(x+1\right)} ໃຫ້ກັບ \frac{x-1}{x-1}. ຄູນ \frac{x+1}{\left(x-1\right)^{2}} ໃຫ້ກັບ \frac{x+1}{x+1}.
\frac{x\left(x-1\right)+\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)^{2}}
ເນື່ອງຈາກ \frac{x\left(x-1\right)}{\left(x+1\right)\left(x-1\right)^{2}} ແລະ \frac{\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)^{2}} ມີຕົວຫານດຽວກັນ, ໃຫ້ເພີ່ມພວກມັນໂດຍການເພີ່ມຈຳນວນທີ່ເປັນເສດໃນເລກເສດສ່ວນຂອງພວກມັນ.
\frac{x^{2}-x+x^{2}+x+x+1}{\left(x+1\right)\left(x-1\right)^{2}}
ຄູນໃນເສດສ່ວນ x\left(x-1\right)+\left(x+1\right)\left(x+1\right).
\frac{2x^{2}+x+1}{\left(x+1\right)\left(x-1\right)^{2}}
ຮວມຂໍ້ກຳນົດໃນ x^{2}-x+x^{2}+x+x+1.
\frac{2x^{2}+x+1}{x^{3}-x^{2}-x+1}
ຂະຫຍາຍ \left(x+1\right)\left(x-1\right)^{2}.
ຕົວຢ່າງ
ສະສົມQuadratic
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
ສະສົມເສັ້ນ
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
ສະສົມພ້ອມກັນ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
ຄວາມແຕກແຍກ
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ການຮວມ
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
ຂີດຈໍາກັດ
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}