Whakaoti i te (5sqrt{3}-6)*(-14sqrt{3}-5)-(-10sqrt{3}-3)*(7sqrt{3}-10)

$$(5 \sqrt{ 3 } -6) \times (-14 \sqrt{ 3 } -5)-(-10 \sqrt{ 3 } -3) \times (7 \sqrt{ 3 } -10)$$

Aromātai

$$-20\sqrt{3}\approx -34.641016151$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 5\sqrt{3}-6 ki ia tau o -14\sqrt{3}-5.

$$-70\left(\sqrt{3}\right)^{2}-25\sqrt{3}+84\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

Ko te pūrua o \sqrt{3} ko 3.

$$-70\times 3-25\sqrt{3}+84\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

Whakareatia te -70 ki te 3, ka -210.

$$-210-25\sqrt{3}+84\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

Pahekotia te -25\sqrt{3} me 84\sqrt{3}, ka 59\sqrt{3}.

$$-210+59\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

Tāpirihia te -210 ki te 30, ka -180.

$$-180+59\sqrt{3}-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o -10\sqrt{3}-3 ki ia tau o 7\sqrt{3}-10.

$$-180+59\sqrt{3}-\left(-70\left(\sqrt{3}\right)^{2}+100\sqrt{3}-21\sqrt{3}+30\right)$$

Ko te pūrua o \sqrt{3} ko 3.

$$-180+59\sqrt{3}-\left(-70\times 3+100\sqrt{3}-21\sqrt{3}+30\right)$$

Whakareatia te -70 ki te 3, ka -210.

$$-180+59\sqrt{3}-\left(-210+100\sqrt{3}-21\sqrt{3}+30\right)$$

Pahekotia te 100\sqrt{3} me -21\sqrt{3}, ka 79\sqrt{3}.

$$-180+59\sqrt{3}-\left(-210+79\sqrt{3}+30\right)$$

Tāpirihia te -210 ki te 30, ka -180.

$$-180+59\sqrt{3}-\left(-180+79\sqrt{3}\right)$$

Hei kimi i te tauaro o -180+79\sqrt{3}, kimihia te tauaro o ia taurangi.

$$-180+59\sqrt{3}-\left(-180\right)-79\sqrt{3}$$

Ko te tauaro o -180 ko 180.

$$-180+59\sqrt{3}+180-79\sqrt{3}$$

Tāpirihia te -180 ki te 180, ka 0.

$$59\sqrt{3}-79\sqrt{3}$$

Pahekotia te 59\sqrt{3} me -79\sqrt{3}, ka -20\sqrt{3}.

$$-20\sqrt{3}$$