Whakaoti i te e(x)=left(2x+1right)^2-(2x+1)(-x+7)

$$e(x)= { \left(2x+1 \right) }^{ 2 } -(2x+1)(-x+7)$$

Aromātai

$$3\left(x-2\right)\left(2x+1\right)$$

Ngā Upane Otinga

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

$$4x^{2}+4x+1-\left(2x+1\right)\left(-x+7\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x+1 ki te -x+7.

$$4x^{2}+4x+1-\left(2x\left(-x\right)+14x-x+7\right)$$

Hei kimi i te tauaro o 2x\left(-x\right)+14x-x+7, kimihia te tauaro o ia taurangi.

$$4x^{2}+4x+1-2x\left(-x\right)-14x-\left(-x\right)-7$$

Whakareatia te -2 ki te -1, ka 2.

$$4x^{2}+4x+1+2xx-14x-\left(-x\right)-7$$

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

$$4x^{2}+4x+1+2x^{2}-14x-\left(-x\right)-7$$

Pahekotia te 4x^{2} me 2x^{2}, ka 6x^{2}.

$$6x^{2}+4x+1-14x-\left(-x\right)-7$$

Pahekotia te 4x me -14x, ka -10x.

$$6x^{2}-10x+1-\left(-x\right)-7$$

Tangohia te 7 i te 1, ka -6.

$$6x^{2}-10x-6-\left(-x\right)$$

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

$$6x^{2}-10x-6+x$$

Pahekotia te -10x me x, ka -9x.

$$6x^{2}-9x-6$$

Whakaroha

$$6x^{2}-9x-6$$

Ngā Upane Otinga

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

$$4x^{2}+4x+1-\left(2x+1\right)\left(-x+7\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x+1 ki te -x+7.

$$4x^{2}+4x+1-\left(2x\left(-x\right)+14x-x+7\right)$$

Hei kimi i te tauaro o 2x\left(-x\right)+14x-x+7, kimihia te tauaro o ia taurangi.

$$4x^{2}+4x+1-2x\left(-x\right)-14x-\left(-x\right)-7$$

Whakareatia te -2 ki te -1, ka 2.

$$4x^{2}+4x+1+2xx-14x-\left(-x\right)-7$$

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

$$4x^{2}+4x+1+2x^{2}-14x-\left(-x\right)-7$$

Pahekotia te 4x^{2} me 2x^{2}, ka 6x^{2}.

$$6x^{2}+4x+1-14x-\left(-x\right)-7$$

Pahekotia te 4x me -14x, ka -10x.

$$6x^{2}-10x+1-\left(-x\right)-7$$

Tangohia te 7 i te 1, ka -6.

$$6x^{2}-10x-6-\left(-x\right)$$

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

$$6x^{2}-10x-6+x$$

Pahekotia te -10x me x, ka -9x.

$$6x^{2}-9x-6$$