Whakaoti i te 2(x+x)(5x-1)+3x(x-2)(2x+1)=

$$2 ( x + x ) ( 5 x - 1 ) + 3 x ( x - 2 ) ( 2 x + 1 ) =$$

Aromātai

$$x\left(3x-2\right)\left(2x+5\right)$$

Ngā Upane Otinga

Pahekotia te x me x, ka 2x.

$$2\times 2x\left(5x-1\right)+3x\left(x-2\right)\left(2x+1\right)$$

Whakareatia te 2 ki te 2, ka 4.

$$4x\left(5x-1\right)+3x\left(x-2\right)\left(2x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4x ki te 5x-1.

$$20x^{2}-4x+3x\left(x-2\right)\left(2x+1\right)$$

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

$$20x^{2}-4x+\left(3x^{2}-6x\right)\left(2x+1\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 3x^{2}-6x ki ia tau o 2x+1.

$$20x^{2}-4x+6x^{3}+3x^{2}-12x^{2}-6x$$

Pahekotia te 3x^{2} me -12x^{2}, ka -9x^{2}.

$$20x^{2}-4x+6x^{3}-9x^{2}-6x$$

Pahekotia te 20x^{2} me -9x^{2}, ka 11x^{2}.

$$11x^{2}-4x+6x^{3}-6x$$

Pahekotia te -4x me -6x, ka -10x.

$$11x^{2}-10x+6x^{3}$$

Whakaroha

$$6x^{3}+11x^{2}-10x$$

Ngā Upane Otinga

Pahekotia te x me x, ka 2x.

$$2\times 2x\left(5x-1\right)+3x\left(x-2\right)\left(2x+1\right)$$

Whakareatia te 2 ki te 2, ka 4.

$$4x\left(5x-1\right)+3x\left(x-2\right)\left(2x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4x ki te 5x-1.

$$20x^{2}-4x+3x\left(x-2\right)\left(2x+1\right)$$

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

$$20x^{2}-4x+\left(3x^{2}-6x\right)\left(2x+1\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 3x^{2}-6x ki ia tau o 2x+1.

$$20x^{2}-4x+6x^{3}+3x^{2}-12x^{2}-6x$$

Pahekotia te 3x^{2} me -12x^{2}, ka -9x^{2}.

$$20x^{2}-4x+6x^{3}-9x^{2}-6x$$

Pahekotia te 20x^{2} me -9x^{2}, ka 11x^{2}.

$$11x^{2}-4x+6x^{3}-6x$$

Pahekotia te -4x me -6x, ka -10x.

$$11x^{2}-10x+6x^{3}$$