Whakaoti i te (x+3)^2-(6+x)(x-6)-(1-x)^2+x(x-8)

$$( x + 3 ) ^ { 2 } - ( 6 + x ) ( x - 6 ) - ( 1 - x ) ^ { 2 } + x ( x - 8 )$$

Aromātai

$$44$$

Ngā Upane Otinga

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

$$x^{2}+6x+9-\left(6+x\right)\left(x-6\right)-\left(1-x\right)^{2}+x\left(x-8\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 6+x ki te x-6 ka whakakotahi i ngā kupu rite.

$$x^{2}+6x+9-\left(-36+x^{2}\right)-\left(1-x\right)^{2}+x\left(x-8\right)$$

Hei kimi i te tauaro o -36+x^{2}, kimihia te tauaro o ia taurangi.

$$x^{2}+6x+9+36-x^{2}-\left(1-x\right)^{2}+x\left(x-8\right)$$

Tāpirihia te 9 ki te 36, ka 45.

$$x^{2}+6x+45-x^{2}-\left(1-x\right)^{2}+x\left(x-8\right)$$

Pahekotia te x^{2} me -x^{2}, ka 0.

$$6x+45-\left(1-x\right)^{2}+x\left(x-8\right)$$

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

$$6x+45-\left(1-2x+x^{2}\right)+x\left(x-8\right)$$

Hei kimi i te tauaro o 1-2x+x^{2}, kimihia te tauaro o ia taurangi.

$$6x+45-1+2x-x^{2}+x\left(x-8\right)$$

Tangohia te 1 i te 45, ka 44.

$$6x+44+2x-x^{2}+x\left(x-8\right)$$

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

$$8x+44-x^{2}+x\left(x-8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te x-8.

$$8x+44-x^{2}+x^{2}-8x$$

Pahekotia te -x^{2} me x^{2}, ka 0.

$$8x+44-8x$$

Pahekotia te 8x me -8x, ka 0.

$$44$$

Tauwehe

$$2^{2}\times 11$$