Whakaoti i te (-x+3)^2-2(2x-1)^2

$$( - x + 3 ) ^ { 2 } - 2 ( 2 x - 1 ) ^ { 2 }$$

Aromātai

$$7+2x-7x^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(-x+3\right)^{2}.

$$\left(-x\right)^{2}+6\left(-x\right)+9-2\left(2x-1\right)^{2}$$

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

$$x^{2}+6\left(-x\right)+9-2\left(2x-1\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-1\right)^{2}.

$$x^{2}+6\left(-x\right)+9-2\left(4x^{2}-4x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 4x^{2}-4x+1.

$$x^{2}+6\left(-x\right)+9-8x^{2}+8x-2$$

Pahekotia te x^{2} me -8x^{2}, ka -7x^{2}.

$$-7x^{2}+6\left(-x\right)+9+8x-2$$

Tangohia te 2 i te 9, ka 7.

$$-7x^{2}+6\left(-x\right)+7+8x$$

Whakareatia te 6 ki te -1, ka -6.

$$-7x^{2}-6x+7+8x$$

Pahekotia te -6x me 8x, ka 2x.

$$-7x^{2}+2x+7$$

Whakaroha

$$7+2x-7x^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(-x+3\right)^{2}.

$$\left(-x\right)^{2}+6\left(-x\right)+9-2\left(2x-1\right)^{2}$$

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

$$x^{2}+6\left(-x\right)+9-2\left(2x-1\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-1\right)^{2}.

$$x^{2}+6\left(-x\right)+9-2\left(4x^{2}-4x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 4x^{2}-4x+1.

$$x^{2}+6\left(-x\right)+9-8x^{2}+8x-2$$

Pahekotia te x^{2} me -8x^{2}, ka -7x^{2}.

$$-7x^{2}+6\left(-x\right)+9+8x-2$$

Tangohia te 2 i te 9, ka 7.

$$-7x^{2}+6\left(-x\right)+7+8x$$

Whakareatia te 6 ki te -1, ka -6.

$$-7x^{2}-6x+7+8x$$

Pahekotia te -6x me 8x, ka 2x.

$$-7x^{2}+2x+7$$