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\left(\frac{\left(a-b\right)\left(a+b\right)}{a+b}+\frac{b^{2}}{a+b}\right)\times \frac{a+b}{a}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia a-b ki te \frac{a+b}{a+b}.
\frac{\left(a-b\right)\left(a+b\right)+b^{2}}{a+b}\times \frac{a+b}{a}
Tā te mea he rite te tauraro o \frac{\left(a-b\right)\left(a+b\right)}{a+b} me \frac{b^{2}}{a+b}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{a^{2}+ab-ba-b^{2}+b^{2}}{a+b}\times \frac{a+b}{a}
Mahia ngā whakarea i roto o \left(a-b\right)\left(a+b\right)+b^{2}.
\frac{a^{2}}{a+b}\times \frac{a+b}{a}
Whakakotahitia ngā kupu rite i a^{2}+ab-ba-b^{2}+b^{2}.
\frac{a^{2}\left(a+b\right)}{\left(a+b\right)a}
Me whakarea te \frac{a^{2}}{a+b} ki te \frac{a+b}{a} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
a
Me whakakore tahi te a\left(a+b\right) i te taurunga me te tauraro.
\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{\left(a-b\right)\left(a+b\right)}{a+b}+\frac{b^{2}}{a+b}\right)\times \frac{a+b}{a})
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia a-b ki te \frac{a+b}{a+b}.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{\left(a-b\right)\left(a+b\right)+b^{2}}{a+b}\times \frac{a+b}{a})
Tā te mea he rite te tauraro o \frac{\left(a-b\right)\left(a+b\right)}{a+b} me \frac{b^{2}}{a+b}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}+ab-ba-b^{2}+b^{2}}{a+b}\times \frac{a+b}{a})
Mahia ngā whakarea i roto o \left(a-b\right)\left(a+b\right)+b^{2}.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}}{a+b}\times \frac{a+b}{a})
Whakakotahitia ngā kupu rite i a^{2}+ab-ba-b^{2}+b^{2}.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}\left(a+b\right)}{\left(a+b\right)a})
Me whakarea te \frac{a^{2}}{a+b} ki te \frac{a+b}{a} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{\mathrm{d}}{\mathrm{d}a}(a)
Me whakakore tahi te a\left(a+b\right) i te taurunga me te tauraro.
a^{1-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
a^{0}
Tango 1 mai i 1.
1
Mō tētahi kupu t mahue te 0, t^{0}=1.