Whakaoti i te f(x)=(x+4)^2(x-3)^2(x-1)

$$f ( x ) = ( x + 4 ) ^ { 2 } ( x - 3 ) ^ { 2 } ( x - 1 )$$

Aromātai

$$\left(x-1\right)\left(\left(x-3\right)\left(x+4\right)\right)^{2}$$

Ngā Upane Otinga

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

$$\left(x^{2}+8x+16\right)\left(x-3\right)^{2}\left(x-1\right)$$

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

$$\left(x^{2}+8x+16\right)\left(x^{2}-6x+9\right)\left(x-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}+8x+16 ki te x^{2}-6x+9 ka whakakotahi i ngā kupu rite.

$$\left(x^{4}+2x^{3}-23x^{2}-24x+144\right)\left(x-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{4}+2x^{3}-23x^{2}-24x+144 ki te x-1 ka whakakotahi i ngā kupu rite.

$$x^{5}+x^{4}-25x^{3}-x^{2}+168x-144$$

Whakaroha

$$x^{5}+x^{4}-25x^{3}-x^{2}+168x-144$$

Ngā Upane Otinga

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

$$\left(x^{2}+8x+16\right)\left(x-3\right)^{2}\left(x-1\right)$$

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

$$\left(x^{2}+8x+16\right)\left(x^{2}-6x+9\right)\left(x-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}+8x+16 ki te x^{2}-6x+9 ka whakakotahi i ngā kupu rite.

$$\left(x^{4}+2x^{3}-23x^{2}-24x+144\right)\left(x-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x^{4}+2x^{3}-23x^{2}-24x+144 ki te x-1 ka whakakotahi i ngā kupu rite.

$$x^{5}+x^{4}-25x^{3}-x^{2}+168x-144$$