Whakaoti i te (5-x)(5+x)+(x-5)^2+(2x-10)(x+3)

$$( 5 - x ) ( 5 + x ) + ( x - 5 ) ^ { 2 } + ( 2 x - 10 ) ( x + 3 )$$

Aromātai

$$2\left(x-5\right)\left(x-2\right)$$

Ngā Upane Otinga

Whakaarohia te \left(5-x\right)\left(5+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 5.

$$25-x^{2}+\left(x-5\right)^{2}+\left(2x-10\right)\left(x+3\right)$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-5\right)^{2}.

$$25-x^{2}+x^{2}-10x+25+\left(2x-10\right)\left(x+3\right)$$

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

$$25-10x+25+\left(2x-10\right)\left(x+3\right)$$

Tāpirihia te 25 ki te 25, ka 50.

$$50-10x+\left(2x-10\right)\left(x+3\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 2x-10 ki te x+3 ka whakakotahi i ngā kupu rite.

$$50-10x+2x^{2}-4x-30$$

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

$$50-14x+2x^{2}-30$$

Tangohia te 30 i te 50, ka 20.

$$20-14x+2x^{2}$$

Whakaroha

$$2x^{2}-14x+20$$

Ngā Upane Otinga

Whakaarohia te \left(5-x\right)\left(5+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 5.

$$25-x^{2}+\left(x-5\right)^{2}+\left(2x-10\right)\left(x+3\right)$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-5\right)^{2}.

$$25-x^{2}+x^{2}-10x+25+\left(2x-10\right)\left(x+3\right)$$

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

$$25-10x+25+\left(2x-10\right)\left(x+3\right)$$

Tāpirihia te 25 ki te 25, ka 50.

$$50-10x+\left(2x-10\right)\left(x+3\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 2x-10 ki te x+3 ka whakakotahi i ngā kupu rite.

$$50-10x+2x^{2}-4x-30$$

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

$$50-14x+2x^{2}-30$$

Tangohia te 30 i te 50, ka 20.

$$20-14x+2x^{2}$$