Whakaoti i te (-2x^3+5x^2-5x+7)+(7x^3+10x^2-10x-3)

$$( - 2 x ^ { 3 } + 5 x ^ { 2 } - 5 x + 7 ) + ( 7 x ^ { 3 } + 10 x ^ { 2 } - 10 x - 3 )$$

Aromātai

$$5x^{3}+15x^{2}-15x+4$$

Ngā Upane Otinga

Pahekotia te -2x^{3} me 7x^{3}, ka 5x^{3}.

$$5x^{3}+5x^{2}-5x+7+10x^{2}-10x-3$$

Pahekotia te 5x^{2} me 10x^{2}, ka 15x^{2}.

$$5x^{3}+15x^{2}-5x+7-10x-3$$

Pahekotia te -5x me -10x, ka -15x.

$$5x^{3}+15x^{2}-15x+7-3$$

Tangohia te 3 i te 7, ka 4.

$$5x^{3}+15x^{2}-15x+4$$

Kimi Pārōnaki e ai ki x

$$15\left(x^{2}+2x-1\right)$$

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Tapeke

Pahekotia te -2x^{3} me 7x^{3}, ka 5x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+5x^{2}-5x+7+10x^{2}-10x-3)$$

Pahekotia te 5x^{2} me 10x^{2}, ka 15x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+15x^{2}-5x+7-10x-3)$$

Pahekotia te -5x me -10x, ka -15x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+15x^{2}-15x+7-3)$$

Tangohia te 3 i te 7, ka 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+15x^{2}-15x+4)$$

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$3\times 5x^{3-1}+2\times 15x^{2-1}-15x^{1-1}$$

Whakareatia 3 ki te 5.

$$15x^{3-1}+2\times 15x^{2-1}-15x^{1-1}$$

Tango 1 mai i 3.

$$15x^{2}+2\times 15x^{2-1}-15x^{1-1}$$

Whakareatia 2 ki te 15.

$$15x^{2}+30x^{2-1}-15x^{1-1}$$

Tango 1 mai i 2.

$$15x^{2}+30x^{1}-15x^{1-1}$$

Tango 1 mai i 1.

$$15x^{2}+30x^{1}-15x^{0}$$

Mō tētahi kupu t, t^{1}=t.

$$15x^{2}+30x-15x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$15x^{2}+30x-15$$