Whakaoti i te 9(x-1)^2-4(2x+3)^2

$$9 ( x - 1 ) ^ { 2 } - 4 ( 2 x + 3 ) ^ { 2 }$$

Aromātai

$$-\left(x+9\right)\left(7x+3\right)$$

Ngā Upane Otinga

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

$$9\left(x^{2}-2x+1\right)-4\left(2x+3\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te x^{2}-2x+1.

$$9x^{2}-18x+9-4\left(2x+3\right)^{2}$$

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

$$9x^{2}-18x+9-4\left(4x^{2}+12x+9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 4x^{2}+12x+9.

$$9x^{2}-18x+9-16x^{2}-48x-36$$

Pahekotia te 9x^{2} me -16x^{2}, ka -7x^{2}.

$$-7x^{2}-18x+9-48x-36$$

Pahekotia te -18x me -48x, ka -66x.

$$-7x^{2}-66x+9-36$$

Tangohia te 36 i te 9, ka -27.

$$-7x^{2}-66x-27$$

Whakaroha

$$-7x^{2}-66x-27$$

Ngā Upane Otinga

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

$$9\left(x^{2}-2x+1\right)-4\left(2x+3\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te x^{2}-2x+1.

$$9x^{2}-18x+9-4\left(2x+3\right)^{2}$$

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

$$9x^{2}-18x+9-4\left(4x^{2}+12x+9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 4x^{2}+12x+9.

$$9x^{2}-18x+9-16x^{2}-48x-36$$

Pahekotia te 9x^{2} me -16x^{2}, ka -7x^{2}.

$$-7x^{2}-18x+9-48x-36$$

Pahekotia te -18x me -48x, ka -66x.

$$-7x^{2}-66x+9-36$$

Tangohia te 36 i te 9, ka -27.

$$-7x^{2}-66x-27$$