ປະເມີນ
\frac{xy}{x^{2}-y^{2}}
ຂະຫຍາຍ
\frac{xy}{x^{2}-y^{2}}
Quiz
Algebra
5 ບັນຫາທີ່ຄ້າຍຄືກັນກັບ:
1 - \frac { x ^ { 2 } - x y - y ^ { 2 } } { x ^ { 2 } - y ^ { 2 } }
ແບ່ງປັນ
ສໍາເນົາຄລິບ
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
ຕົວປະກອບ x^{2}-y^{2}.
\frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
ເພື່ອເພີ່ມ ຫຼື ຫານນິພົດ, ໃຫ້ຂະຫຍາຍພວກມັນເພື່ອໃຫ້ຕົວຄູນມີຈຳນວນດຽວກັນ. ຄູນ 1 ໃຫ້ກັບ \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}.
\frac{\left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right)}{\left(x+y\right)\left(x-y\right)}
ເນື່ອງຈາກ \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} ແລະ \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} ມີຕົວຫານດຽວກັນ, ໃຫ້ຫານພວກມັນໂດຍການຫານຈຳນວນທີ່ເປັນເສດໃນເລກເສດສ່ວນຂອງພວກມັນ.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
ຄູນໃນເສດສ່ວນ \left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right).
\frac{xy}{\left(x+y\right)\left(x-y\right)}
ຮວມຂໍ້ກຳນົດໃນ x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
ຂະຫຍາຍ \left(x+y\right)\left(x-y\right).
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
ຕົວປະກອບ x^{2}-y^{2}.
\frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
ເພື່ອເພີ່ມ ຫຼື ຫານນິພົດ, ໃຫ້ຂະຫຍາຍພວກມັນເພື່ອໃຫ້ຕົວຄູນມີຈຳນວນດຽວກັນ. ຄູນ 1 ໃຫ້ກັບ \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)}.
\frac{\left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right)}{\left(x+y\right)\left(x-y\right)}
ເນື່ອງຈາກ \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} ແລະ \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} ມີຕົວຫານດຽວກັນ, ໃຫ້ຫານພວກມັນໂດຍການຫານຈຳນວນທີ່ເປັນເສດໃນເລກເສດສ່ວນຂອງພວກມັນ.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
ຄູນໃນເສດສ່ວນ \left(x+y\right)\left(x-y\right)-\left(x^{2}-xy-y^{2}\right).
\frac{xy}{\left(x+y\right)\left(x-y\right)}
ຮວມຂໍ້ກຳນົດໃນ x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
ຂະຫຍາຍ \left(x+y\right)\left(x-y\right).
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