Whakaoti i te (2x+3)(6x+2)-6x(2x+13)+8(7x+2)

$$( 2 x + 3 ) ( 6 x + 2 ) - 6 x ( 2 x + 13 ) + 8 ( 7 x + 2 )$$

Aromātai

$$22$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+3 ki ia tau o 6x+2.

$$12x^{2}+4x+18x+6-6x\left(2x+13\right)+8\left(7x+2\right)$$

Pahekotia te 4x me 18x, ka 22x.

$$12x^{2}+22x+6-6x\left(2x+13\right)+8\left(7x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 7x+2.

$$12x^{2}+22x+6-6x\left(2x+13\right)+56x+16$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6x ki te 2x+13.

$$12x^{2}+22x+6-12x^{2}-78x+56x+16$$

Pahekotia te 12x^{2} me -12x^{2}, ka 0.

$$22x+6-78x+56x+16$$

Pahekotia te 22x me -78x, ka -56x.

$$-56x+6+56x+16$$

Pahekotia te -56x me 56x, ka 0.

$$6+16$$

Tāpirihia te 6 ki te 16, ka 22.

$$22$$

Tauwehe

$$2\times 11$$

Ngā Upane Otinga

Tauwehea te 2.

$$2\left(\left(2x+3\right)\left(3x+1\right)-3x\left(2x+13\right)+4\left(7x+2\right)\right)$$

Whakarūnātia.

$$22$$