Whakaoti i te (3x+5)(2x-5)-(9x-5)*(x-5)

$$( 3 x + 5 ) ( 2 x - 5 ) - ( 9 x - 5 ) \cdot ( x - 5 )$$

Aromātai

$$-3x^{2}+45x-50$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 3x+5 ki ia tau o 2x-5.

$$6x^{2}-15x+10x-25-\left(9x-5\right)\left(x-5\right)$$

Pahekotia te -15x me 10x, ka -5x.

$$6x^{2}-5x-25-\left(9x-5\right)\left(x-5\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 9x-5 ki ia tau o x-5.

$$6x^{2}-5x-25-\left(9x^{2}-45x-5x+25\right)$$

Pahekotia te -45x me -5x, ka -50x.

$$6x^{2}-5x-25-\left(9x^{2}-50x+25\right)$$

Hei kimi i te tauaro o 9x^{2}-50x+25, kimihia te tauaro o ia taurangi.

$$6x^{2}-5x-25-9x^{2}-\left(-50x\right)-25$$

Ko te tauaro o -50x ko 50x.

$$6x^{2}-5x-25-9x^{2}+50x-25$$

Pahekotia te 6x^{2} me -9x^{2}, ka -3x^{2}.

$$-3x^{2}-5x-25+50x-25$$

Pahekotia te -5x me 50x, ka 45x.

$$-3x^{2}+45x-25-25$$

Tangohia te 25 i te -25, ka -50.

$$-3x^{2}+45x-50$$

Whakaroha

$$-3x^{2}+45x-50$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 3x+5 ki ia tau o 2x-5.

$$6x^{2}-15x+10x-25-\left(9x-5\right)\left(x-5\right)$$

Pahekotia te -15x me 10x, ka -5x.

$$6x^{2}-5x-25-\left(9x-5\right)\left(x-5\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 9x-5 ki ia tau o x-5.

$$6x^{2}-5x-25-\left(9x^{2}-45x-5x+25\right)$$

Pahekotia te -45x me -5x, ka -50x.

$$6x^{2}-5x-25-\left(9x^{2}-50x+25\right)$$

Hei kimi i te tauaro o 9x^{2}-50x+25, kimihia te tauaro o ia taurangi.

$$6x^{2}-5x-25-9x^{2}-\left(-50x\right)-25$$

Ko te tauaro o -50x ko 50x.

$$6x^{2}-5x-25-9x^{2}+50x-25$$

Pahekotia te 6x^{2} me -9x^{2}, ka -3x^{2}.

$$-3x^{2}-5x-25+50x-25$$

Pahekotia te -5x me 50x, ka 45x.

$$-3x^{2}+45x-25-25$$

Tangohia te 25 i te -25, ka -50.

$$-3x^{2}+45x-50$$