Whakaoti i te [(-5+x)(-x-5)]^2

$$[ ( - 5 + x ) ( - x - 5 ) ] ^ { 2 }$$

Aromātai

$$\left(25-x^{2}\right)^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -5+x ki te -x-5.

$$\left(-5\left(-x\right)+25+x\left(-x\right)-5x\right)^{2}$$

Whakareatia te -5 ki te -1, ka 5.

$$\left(5x+25+x\left(-x\right)-5x\right)^{2}$$

Pahekotia te 5x me -5x, ka 0.

$$\left(25+x\left(-x\right)\right)^{2}$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(25+x\left(-x\right)\right)^{2}.

$$625+50x\left(-x\right)+x^{2}\left(-x\right)^{2}$$

Tātaihia te -x mā te pū o 2, kia riro ko x^{2}.

$$625+50x\left(-x\right)+x^{2}x^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$625+50x\left(-x\right)+x^{4}$$

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

$$625+50x^{2}\left(-1\right)+x^{4}$$

Whakareatia te 50 ki te -1, ka -50.

$$625-50x^{2}+x^{4}$$

Whakaroha

$$x^{4}-50x^{2}+625$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -5+x ki te -x-5.

$$\left(-5\left(-x\right)+25+x\left(-x\right)-5x\right)^{2}$$

Whakareatia te -5 ki te -1, ka 5.

$$\left(5x+25+x\left(-x\right)-5x\right)^{2}$$

Pahekotia te 5x me -5x, ka 0.

$$\left(25+x\left(-x\right)\right)^{2}$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(25+x\left(-x\right)\right)^{2}.

$$625+50x\left(-x\right)+x^{2}\left(-x\right)^{2}$$

Tātaihia te -x mā te pū o 2, kia riro ko x^{2}.

$$625+50x\left(-x\right)+x^{2}x^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.

$$625+50x\left(-x\right)+x^{4}$$

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

$$625+50x^{2}\left(-1\right)+x^{4}$$

Whakareatia te 50 ki te -1, ka -50.

$$625-50x^{2}+x^{4}$$