Whakaoti i te (4x-80)x+(55(20-x)-200)(20-x)

$$( 4 x - 80 ) x + ( 55 ( 20 - x ) - 200 ) ( 20 - x )$$

Aromātai

$$\left(x-20\right)\left(59x-900\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 4x-80 ki te x.

$$4x^{2}-80x+\left(55\left(20-x\right)-200\right)\left(20-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 55 ki te 20-x.

$$4x^{2}-80x+\left(1100-55x-200\right)\left(20-x\right)$$

Tangohia te 200 i te 1100, ka 900.

$$4x^{2}-80x+\left(900-55x\right)\left(20-x\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 900-55x ki ia tau o 20-x.

$$4x^{2}-80x+18000-900x-1100x+55x^{2}$$

Pahekotia te -900x me -1100x, ka -2000x.

$$4x^{2}-80x+18000-2000x+55x^{2}$$

Pahekotia te -80x me -2000x, ka -2080x.

$$4x^{2}-2080x+18000+55x^{2}$$

Pahekotia te 4x^{2} me 55x^{2}, ka 59x^{2}.

$$59x^{2}-2080x+18000$$

Whakaroha

$$59x^{2}-2080x+18000$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 4x-80 ki te x.

$$4x^{2}-80x+\left(55\left(20-x\right)-200\right)\left(20-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 55 ki te 20-x.

$$4x^{2}-80x+\left(1100-55x-200\right)\left(20-x\right)$$

Tangohia te 200 i te 1100, ka 900.

$$4x^{2}-80x+\left(900-55x\right)\left(20-x\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 900-55x ki ia tau o 20-x.

$$4x^{2}-80x+18000-900x-1100x+55x^{2}$$

Pahekotia te -900x me -1100x, ka -2000x.

$$4x^{2}-80x+18000-2000x+55x^{2}$$

Pahekotia te -80x me -2000x, ka -2080x.

$$4x^{2}-2080x+18000+55x^{2}$$

Pahekotia te 4x^{2} me 55x^{2}, ka 59x^{2}.

$$59x^{2}-2080x+18000$$