Whakaoti i te f(x)=(x-5)^3(x+4)^2

$$f ( x ) = ( x - 5 ) ^ { 3 } ( x + 4 ) ^ { 2 }$$

Aromātai

$$\left(x+4\right)^{2}\left(x-5\right)^{3}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(x-5\right)^{3}.

$$\left(x^{3}-15x^{2}+75x-125\right)\left(x+4\right)^{2}$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+4\right)^{2}.

$$\left(x^{3}-15x^{2}+75x-125\right)\left(x^{2}+8x+16\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{3}-15x^{2}+75x-125 ki te x^{2}+8x+16 ka whakakotahi i ngā kupu rite.

$$x^{5}-7x^{4}-29x^{3}+235x^{2}+200x-2000$$

Whakaroha

$$x^{5}-7x^{4}-29x^{3}+235x^{2}+200x-2000$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(x-5\right)^{3}.

$$\left(x^{3}-15x^{2}+75x-125\right)\left(x+4\right)^{2}$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+4\right)^{2}.

$$\left(x^{3}-15x^{2}+75x-125\right)\left(x^{2}+8x+16\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{3}-15x^{2}+75x-125 ki te x^{2}+8x+16 ka whakakotahi i ngā kupu rite.

$$x^{5}-7x^{4}-29x^{3}+235x^{2}+200x-2000$$