Whakaoti i te (3y^3-2y^2-7y)+(-4y^2+2y-5)

$$( 3 y ^ { 3 } - 2 y ^ { 2 } - 7 y ) + ( - 4 y ^ { 2 } + 2 y - 5 )$$

Aromātai

$$3y^{3}-6y^{2}-5y-5$$

Ngā Upane Otinga

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

$$3y^{3}-6y^{2}-7y+2y-5$$

Pahekotia te -7y me 2y, ka -5y.

$$3y^{3}-6y^{2}-5y-5$$

Kimi Pārōnaki e ai ki y

$$\left(3y-5\right)\left(3y+1\right)$$

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

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{3}-6y^{2}-7y+2y-5)$$

Pahekotia te -7y me 2y, ka -5y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{3}-6y^{2}-5y-5)$$

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}.

$$3\times 3y^{3-1}+2\left(-6\right)y^{2-1}-5y^{1-1}$$

Whakareatia 3 ki te 3.

$$9y^{3-1}+2\left(-6\right)y^{2-1}-5y^{1-1}$$

Tango 1 mai i 3.

$$9y^{2}+2\left(-6\right)y^{2-1}-5y^{1-1}$$

Whakareatia 2 ki te -6.

$$9y^{2}-12y^{2-1}-5y^{1-1}$$

Tango 1 mai i 2.

$$9y^{2}-12y^{1}-5y^{1-1}$$

Tango 1 mai i 1.

$$9y^{2}-12y^{1}-5y^{0}$$

Mō tētahi kupu t, t^{1}=t.

$$9y^{2}-12y-5y^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$9y^{2}-12y-5$$