Whakaoti i te 49x^2-4(x^2-3x)^2

$$49 x ^ { 2 } - 4 ( x ^ { 2 } - 3 x ) ^ { 2 }$$

Aromātai

$$\left(13-2x\right)\left(2x+1\right)x^{2}$$

Ngā Upane Otinga

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

$$49x^{2}-4\left(\left(x^{2}\right)^{2}-6x^{2}x+9x^{2}\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$49x^{2}-4\left(x^{4}-6x^{2}x+9x^{2}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$49x^{2}-4\left(x^{4}-6x^{3}+9x^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te x^{4}-6x^{3}+9x^{2}.

$$49x^{2}-4x^{4}+24x^{3}-36x^{2}$$

Pahekotia te 49x^{2} me -36x^{2}, ka 13x^{2}.

$$13x^{2}-4x^{4}+24x^{3}$$

Whakaroha

$$13x^{2}+24x^{3}-4x^{4}$$

Ngā Upane Otinga

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

$$49x^{2}-4\left(\left(x^{2}\right)^{2}-6x^{2}x+9x^{2}\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$49x^{2}-4\left(x^{4}-6x^{2}x+9x^{2}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$49x^{2}-4\left(x^{4}-6x^{3}+9x^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te x^{4}-6x^{3}+9x^{2}.

$$49x^{2}-4x^{4}+24x^{3}-36x^{2}$$

Pahekotia te 49x^{2} me -36x^{2}, ka 13x^{2}.

$$13x^{2}-4x^{4}+24x^{3}$$