Whakaoti i te (3x-2y)^2+(2+x)*(2-x)+(2x+3)^2

$$( 3 x - 2 y ) ^ { 2 } + ( 2 + x ) \cdot ( 2 - x ) + ( 2 x + 3 ) ^ { 2 }$$

Aromātai

$$12x^{2}-12xy+12x+4y^{2}+13$$

Ngā Upane Otinga

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

$$9x^{2}-12xy+4y^{2}+\left(2+x\right)\left(2-x\right)+\left(2x+3\right)^{2}$$

Whakaarohia te \left(2+x\right)\left(2-x\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 2.

$$9x^{2}-12xy+4y^{2}+4-x^{2}+\left(2x+3\right)^{2}$$

Pahekotia te 9x^{2} me -x^{2}, ka 8x^{2}.

$$8x^{2}-12xy+4y^{2}+4+\left(2x+3\right)^{2}$$

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

$$8x^{2}-12xy+4y^{2}+4+4x^{2}+12x+9$$

Pahekotia te 8x^{2} me 4x^{2}, ka 12x^{2}.

$$12x^{2}-12xy+4y^{2}+4+12x+9$$

Tāpirihia te 4 ki te 9, ka 13.

$$12x^{2}-12xy+4y^{2}+13+12x$$

Whakaroha

$$12x^{2}-12xy+12x+4y^{2}+13$$

Ngā Upane Otinga

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

$$9x^{2}-12xy+4y^{2}+\left(2+x\right)\left(2-x\right)+\left(2x+3\right)^{2}$$

Whakaarohia te \left(2+x\right)\left(2-x\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 2.

$$9x^{2}-12xy+4y^{2}+4-x^{2}+\left(2x+3\right)^{2}$$

Pahekotia te 9x^{2} me -x^{2}, ka 8x^{2}.

$$8x^{2}-12xy+4y^{2}+4+\left(2x+3\right)^{2}$$

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

$$8x^{2}-12xy+4y^{2}+4+4x^{2}+12x+9$$

Pahekotia te 8x^{2} me 4x^{2}, ka 12x^{2}.

$$12x^{2}-12xy+4y^{2}+4+12x+9$$

Tāpirihia te 4 ki te 9, ka 13.

$$12x^{2}-12xy+4y^{2}+13+12x$$