Whakaoti i te (8x^3+3*4x^2+10x+1)-(9x^2+30x+25)*(2x+1)

$$( 8 x ^ { 3 } + 3 \cdot 4 x ^ { 2 } + 10 x + 1 ) - ( 9 x ^ { 2 } + 30 x + 25 ) \cdot ( 2 x + 1 )$$

Aromātai

$$-10x^{3}-57x^{2}-70x-24$$

Ngā Upane Otinga

Whakareatia te 3 ki te 4, ka 12.

$$8x^{3}+12x^{2}+10x+1-\left(9x^{2}+30x+25\right)\left(2x+1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 9x^{2}+30x+25 ki te 2x+1 ka whakakotahi i ngā kupu rite.

$$8x^{3}+12x^{2}+10x+1-\left(18x^{3}+69x^{2}+80x+25\right)$$

Hei kimi i te tauaro o 18x^{3}+69x^{2}+80x+25, kimihia te tauaro o ia taurangi.

$$8x^{3}+12x^{2}+10x+1-18x^{3}-69x^{2}-80x-25$$

Pahekotia te 8x^{3} me -18x^{3}, ka -10x^{3}.

$$-10x^{3}+12x^{2}+10x+1-69x^{2}-80x-25$$

Pahekotia te 12x^{2} me -69x^{2}, ka -57x^{2}.

$$-10x^{3}-57x^{2}+10x+1-80x-25$$

Pahekotia te 10x me -80x, ka -70x.

$$-10x^{3}-57x^{2}-70x+1-25$$

Tangohia te 25 i te 1, ka -24.

$$-10x^{3}-57x^{2}-70x-24$$

Whakaroha

$$-10x^{3}-57x^{2}-70x-24$$

Ngā Upane Otinga

Whakareatia te 3 ki te 4, ka 12.

$$8x^{3}+12x^{2}+10x+1-\left(9x^{2}+30x+25\right)\left(2x+1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 9x^{2}+30x+25 ki te 2x+1 ka whakakotahi i ngā kupu rite.

$$8x^{3}+12x^{2}+10x+1-\left(18x^{3}+69x^{2}+80x+25\right)$$

Hei kimi i te tauaro o 18x^{3}+69x^{2}+80x+25, kimihia te tauaro o ia taurangi.

$$8x^{3}+12x^{2}+10x+1-18x^{3}-69x^{2}-80x-25$$

Pahekotia te 8x^{3} me -18x^{3}, ka -10x^{3}.

$$-10x^{3}+12x^{2}+10x+1-69x^{2}-80x-25$$

Pahekotia te 12x^{2} me -69x^{2}, ka -57x^{2}.

$$-10x^{3}-57x^{2}+10x+1-80x-25$$

Pahekotia te 10x me -80x, ka -70x.

$$-10x^{3}-57x^{2}-70x+1-25$$

Tangohia te 25 i te 1, ka -24.

$$-10x^{3}-57x^{2}-70x-24$$