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Whakaroha
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\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Tauwehea te x^{2}-4xy. Tauwehea te x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x-4y\right) me x\left(x+4y\right) ko x\left(x-4y\right)\left(x+4y\right). Whakareatia \frac{x+4y}{x\left(x-4y\right)} ki te \frac{x+4y}{x+4y}. Whakareatia \frac{x-4y}{x\left(x+4y\right)} ki te \frac{x-4y}{x-4y}.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Tā te mea he rite te tauraro o \frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} me \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Mahia ngā whakarea i roto o \left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right).
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Whakakotahitia ngā kupu rite i x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Me whakakore tahi te x i te taurunga me te tauraro.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
Whakawehe \frac{16y}{\left(x-4y\right)\left(x+4y\right)} ki te \frac{4y^{2}}{x^{2}-16y^{2}} mā te whakarea \frac{16y}{\left(x-4y\right)\left(x+4y\right)} ki te tau huripoki o \frac{4y^{2}}{x^{2}-16y^{2}}.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Me whakakore tahi te 4y i te taurunga me te tauraro.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.
\frac{4}{y}
Me whakakore tahi te \left(x-4y\right)\left(x+4y\right) i te taurunga me te tauraro.
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Tauwehea te x^{2}-4xy. Tauwehea te x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x-4y\right) me x\left(x+4y\right) ko x\left(x-4y\right)\left(x+4y\right). Whakareatia \frac{x+4y}{x\left(x-4y\right)} ki te \frac{x+4y}{x+4y}. Whakareatia \frac{x-4y}{x\left(x+4y\right)} ki te \frac{x-4y}{x-4y}.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Tā te mea he rite te tauraro o \frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} me \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}, me tango rāua mā te tango i ō raua taurunga.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Mahia ngā whakarea i roto o \left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right).
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Whakakotahitia ngā kupu rite i x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Me whakakore tahi te x i te taurunga me te tauraro.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
Whakawehe \frac{16y}{\left(x-4y\right)\left(x+4y\right)} ki te \frac{4y^{2}}{x^{2}-16y^{2}} mā te whakarea \frac{16y}{\left(x-4y\right)\left(x+4y\right)} ki te tau huripoki o \frac{4y^{2}}{x^{2}-16y^{2}}.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Me whakakore tahi te 4y i te taurunga me te tauraro.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.
\frac{4}{y}
Me whakakore tahi te \left(x-4y\right)\left(x+4y\right) i te taurunga me te tauraro.