Whakaoti i te (5x+2)(-2x+3)+4(-2x+3)-7x(-2x+3

$$( 5 x + 2 ) ( - 2 x + 3 ) + 4 ( - 2 x + 3 ) - 7 x ( - 2 x + 3$$

Aromātai

$$2\left(x-3\right)\left(2x-3\right)$$

Ngā Upane Otinga

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

$$-10x^{2}+15x-4x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

Pahekotia te 15x me -4x, ka 11x.

$$-10x^{2}+11x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -2x+3.

$$-10x^{2}+11x+6-8x+12-7x\left(-2x+3\right)$$

Pahekotia te 11x me -8x, ka 3x.

$$-10x^{2}+3x+6+12-7x\left(-2x+3\right)$$

Tāpirihia te 6 ki te 12, ka 18.

$$-10x^{2}+3x+18-7x\left(-2x+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7x ki te -2x+3.

$$-10x^{2}+3x+18+14x^{2}-21x$$

Pahekotia te -10x^{2} me 14x^{2}, ka 4x^{2}.

$$4x^{2}+3x+18-21x$$

Pahekotia te 3x me -21x, ka -18x.

$$4x^{2}-18x+18$$

Whakaroha

$$4x^{2}-18x+18$$

Ngā Upane Otinga

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

$$-10x^{2}+15x-4x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

Pahekotia te 15x me -4x, ka 11x.

$$-10x^{2}+11x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -2x+3.

$$-10x^{2}+11x+6-8x+12-7x\left(-2x+3\right)$$

Pahekotia te 11x me -8x, ka 3x.

$$-10x^{2}+3x+6+12-7x\left(-2x+3\right)$$

Tāpirihia te 6 ki te 12, ka 18.

$$-10x^{2}+3x+18-7x\left(-2x+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7x ki te -2x+3.

$$-10x^{2}+3x+18+14x^{2}-21x$$

Pahekotia te -10x^{2} me 14x^{2}, ka 4x^{2}.

$$4x^{2}+3x+18-21x$$

Pahekotia te 3x me -21x, ka -18x.

$$4x^{2}-18x+18$$