Evaluasi
\frac{xy}{x^{2}-y^{2}}
Luaskan
\frac{xy}{x^{2}-y^{2}}
Kuis
Algebra
5 soal serupa dengan:
1 - \frac { x ^ { 2 } - x y - y ^ { 2 } } { x ^ { 2 } - y ^ { 2 } }
Bagikan
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1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Faktor dari 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)}
Untuk menambahkan atau mengurangi ekspresi, perluas untuk menyamakan penyebutnya. Kalikan 1 kali \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)}
Karena \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} dan \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} memiliki penyebut yang sama, kurangi bilangan dengan mengurangkan pembilangnya.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
Kalikan bilangan berikut \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)}
Gabungkan seperti suku di x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
Luaskan \left(x+y\right)\left(x-y\right).
1-\frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)}
Faktor dari 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)}
Untuk menambahkan atau mengurangi ekspresi, perluas untuk menyamakan penyebutnya. Kalikan 1 kali \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)}
Karena \frac{\left(x+y\right)\left(x-y\right)}{\left(x+y\right)\left(x-y\right)} dan \frac{x^{2}-xy-y^{2}}{\left(x+y\right)\left(x-y\right)} memiliki penyebut yang sama, kurangi bilangan dengan mengurangkan pembilangnya.
\frac{x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}}{\left(x+y\right)\left(x-y\right)}
Kalikan bilangan berikut \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)}
Gabungkan seperti suku di x^{2}-xy+yx-y^{2}-x^{2}+xy+y^{2}.
\frac{xy}{x^{2}-y^{2}}
Luaskan \left(x+y\right)\left(x-y\right).
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