Whakaoti i te =368quad[(3/28a^2b)(-7/4ab)-(-1/8a^3b)(+2b)]:(-1/4a^2b^2)

$$= 368 \quad [ ( \frac { 3 } { 28 } a ^ { 2 } b ) ( - \frac { 7 } { 4 } a b ) - ( - \frac { 1 } { 8 } a ^ { 3 } b ) ( + 2 b ) ] : ( - \frac { 1 } { 4 } a ^ { 2 } b ^ { 2 } )$$

Aromātai

$$-92a$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{368\left(\frac{3}{28}a^{3}b\left(-\frac{7}{4}\right)b-\left(-\frac{1}{8}a^{3}b\times 2b\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te b ki te b, ka b^{2}.

$$\frac{368\left(\frac{3}{28}a^{3}b^{2}\left(-\frac{7}{4}\right)-\left(-\frac{1}{8}a^{3}b\times 2b\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te b ki te b, ka b^{2}.

$$\frac{368\left(\frac{3}{28}a^{3}b^{2}\left(-\frac{7}{4}\right)-\left(-\frac{1}{8}a^{3}b^{2}\times 2\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te \frac{3}{28} ki te -\frac{7}{4}, ka -\frac{3}{16}.

$$\frac{368\left(-\frac{3}{16}a^{3}b^{2}-\left(-\frac{1}{8}a^{3}b^{2}\times 2\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te -\frac{1}{8} ki te 2, ka -\frac{1}{4}.

$$\frac{368\left(-\frac{3}{16}a^{3}b^{2}-\left(-\frac{1}{4}a^{3}b^{2}\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Ko te tauaro o -\frac{1}{4}a^{3}b^{2} ko \frac{1}{4}a^{3}b^{2}.

$$\frac{368\left(-\frac{3}{16}a^{3}b^{2}+\frac{1}{4}a^{3}b^{2}\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Pahekotia te -\frac{3}{16}a^{3}b^{2} me \frac{1}{4}a^{3}b^{2}, ka \frac{1}{16}a^{3}b^{2}.

$$\frac{368\times \frac{1}{16}a^{3}b^{2}}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te 368 ki te \frac{1}{16}, ka 23.

$$\frac{23a^{3}b^{2}}{-\frac{1}{4}a^{2}b^{2}}$$

Me whakakore tahi te a^{2}b^{2} i te taurunga me te tauraro.

$$\frac{23a}{-\frac{1}{4}}$$

Whakawehe 23a ki te -\frac{1}{4} mā te whakarea 23a ki te tau huripoki o -\frac{1}{4}.

$$\frac{23a\times 4}{-1}$$

Whakareatia te 23 ki te 4, ka 92.

$$\frac{92a}{-1}$$

Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.

$$-92a$$

Whakaroha

$$-92a$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{368\left(\frac{3}{28}a^{3}b\left(-\frac{7}{4}\right)b-\left(-\frac{1}{8}a^{3}b\times 2b\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te b ki te b, ka b^{2}.

$$\frac{368\left(\frac{3}{28}a^{3}b^{2}\left(-\frac{7}{4}\right)-\left(-\frac{1}{8}a^{3}b\times 2b\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te b ki te b, ka b^{2}.

$$\frac{368\left(\frac{3}{28}a^{3}b^{2}\left(-\frac{7}{4}\right)-\left(-\frac{1}{8}a^{3}b^{2}\times 2\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te \frac{3}{28} ki te -\frac{7}{4}, ka -\frac{3}{16}.

$$\frac{368\left(-\frac{3}{16}a^{3}b^{2}-\left(-\frac{1}{8}a^{3}b^{2}\times 2\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te -\frac{1}{8} ki te 2, ka -\frac{1}{4}.

$$\frac{368\left(-\frac{3}{16}a^{3}b^{2}-\left(-\frac{1}{4}a^{3}b^{2}\right)\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Ko te tauaro o -\frac{1}{4}a^{3}b^{2} ko \frac{1}{4}a^{3}b^{2}.

$$\frac{368\left(-\frac{3}{16}a^{3}b^{2}+\frac{1}{4}a^{3}b^{2}\right)}{-\frac{1}{4}a^{2}b^{2}}$$

Pahekotia te -\frac{3}{16}a^{3}b^{2} me \frac{1}{4}a^{3}b^{2}, ka \frac{1}{16}a^{3}b^{2}.

$$\frac{368\times \frac{1}{16}a^{3}b^{2}}{-\frac{1}{4}a^{2}b^{2}}$$

Whakareatia te 368 ki te \frac{1}{16}, ka 23.

$$\frac{23a^{3}b^{2}}{-\frac{1}{4}a^{2}b^{2}}$$

Me whakakore tahi te a^{2}b^{2} i te taurunga me te tauraro.

$$\frac{23a}{-\frac{1}{4}}$$

Whakawehe 23a ki te -\frac{1}{4} mā te whakarea 23a ki te tau huripoki o -\frac{1}{4}.

$$\frac{23a\times 4}{-1}$$

Whakareatia te 23 ki te 4, ka 92.

$$\frac{92a}{-1}$$

Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.

$$-92a$$