Whakaoti i te (-1/2-3)(-1/2+1)-({left(-1/2right)}^2-2)

$$(- \frac{ 1 }{ 2 } -3)(- \frac{ 1 }{ 2 } +1)-( { \left(- \frac{ 1 }{ 2 } \right) }^{ 2 } -2)$$

Aromātai

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Ngā Upane Otinga

Me tahuri te 3 ki te hautau \frac{6}{2}.

$$\left(-\frac{1}{2}-\frac{6}{2}\right)\left(-\frac{1}{2}+1\right)-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Tā te mea he rite te tauraro o -\frac{1}{2} me \frac{6}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-1-6}{2}\left(-\frac{1}{2}+1\right)-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Tangohia te 6 i te -1, ka -7.

$$-\frac{7}{2}\left(-\frac{1}{2}+1\right)-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$-\frac{7}{2}\left(-\frac{1}{2}+\frac{2}{2}\right)-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Tā te mea he rite te tauraro o -\frac{1}{2} me \frac{2}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{7}{2}\times \frac{-1+2}{2}-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Tāpirihia te -1 ki te 2, ka 1.

$$-\frac{7}{2}\times \frac{1}{2}-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Me whakarea te -\frac{7}{2} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-7}{2\times 2}-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-7}{2\times 2}.

$$\frac{-7}{4}-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Ka taea te hautanga \frac{-7}{4} te tuhi anō ko -\frac{7}{4} mā te tango i te tohu tōraro.

$$-\frac{7}{4}-\left(\left(-\frac{1}{2}\right)^{2}-2\right)$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$-\frac{7}{4}-\left(\frac{1}{4}-2\right)$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$-\frac{7}{4}-\left(\frac{1}{4}-\frac{8}{4}\right)$$

Tā te mea he rite te tauraro o \frac{1}{4} me \frac{8}{4}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{7}{4}-\frac{1-8}{4}$$

Tangohia te 8 i te 1, ka -7.

$$-\frac{7}{4}-\left(-\frac{7}{4}\right)$$

Ko te tauaro o -\frac{7}{4} ko \frac{7}{4}.

$$-\frac{7}{4}+\frac{7}{4}$$

Tāpirihia te -\frac{7}{4} ki te \frac{7}{4}, ka 0.

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Tauwehe

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