Whakaoti i te [(a-1)(a-2)(a-3)-(a+1)(a+2)(a+3)]:(-4)

$$[ ( a - 1 ) ( a - 2 ) ( a - 3 ) - ( a + 1 ) ( a + 2 ) ( a + 3 ) ] : ( - 4 )$$

Aromātai

$$3\left(a^{2}+1\right)$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a-1 ki ia tau o a-2.

$$\frac{\left(a^{2}-2a-a+2\right)\left(a-3\right)-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

Pahekotia te -2a me -a, ka -3a.

$$\frac{\left(a^{2}-3a+2\right)\left(a-3\right)-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

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

$$\frac{a^{3}-3a^{2}-3a^{2}+9a+2a-6-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

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

$$\frac{a^{3}-6a^{2}+9a+2a-6-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

Pahekotia te 9a me 2a, ka 11a.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a+1 ki ia tau o a+2.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{2}+2a+a+2\right)\left(a+3\right)}{-4}$$

Pahekotia te 2a me a, ka 3a.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{2}+3a+2\right)\left(a+3\right)}{-4}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a^{2}+3a+2 ki ia tau o a+3.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{3}+3a^{2}+3a^{2}+9a+2a+6\right)}{-4}$$

Pahekotia te 3a^{2} me 3a^{2}, ka 6a^{2}.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{3}+6a^{2}+9a+2a+6\right)}{-4}$$

Pahekotia te 9a me 2a, ka 11a.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{3}+6a^{2}+11a+6\right)}{-4}$$

Hei kimi i te tauaro o a^{3}+6a^{2}+11a+6, kimihia te tauaro o ia taurangi.

$$\frac{a^{3}-6a^{2}+11a-6-a^{3}-6a^{2}-11a-6}{-4}$$

Pahekotia te a^{3} me -a^{3}, ka 0.

$$\frac{-6a^{2}+11a-6-6a^{2}-11a-6}{-4}$$

Pahekotia te -6a^{2} me -6a^{2}, ka -12a^{2}.

$$\frac{-12a^{2}+11a-6-11a-6}{-4}$$

Pahekotia te 11a me -11a, ka 0.

$$\frac{-12a^{2}-6-6}{-4}$$

Tangohia te 6 i te -6, ka -12.

$$\frac{-12a^{2}-12}{-4}$$

Whakaroha

$$3a^{2}+3$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a-1 ki ia tau o a-2.

$$\frac{\left(a^{2}-2a-a+2\right)\left(a-3\right)-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

Pahekotia te -2a me -a, ka -3a.

$$\frac{\left(a^{2}-3a+2\right)\left(a-3\right)-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

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

$$\frac{a^{3}-3a^{2}-3a^{2}+9a+2a-6-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

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

$$\frac{a^{3}-6a^{2}+9a+2a-6-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

Pahekotia te 9a me 2a, ka 11a.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a+1\right)\left(a+2\right)\left(a+3\right)}{-4}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a+1 ki ia tau o a+2.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{2}+2a+a+2\right)\left(a+3\right)}{-4}$$

Pahekotia te 2a me a, ka 3a.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{2}+3a+2\right)\left(a+3\right)}{-4}$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a^{2}+3a+2 ki ia tau o a+3.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{3}+3a^{2}+3a^{2}+9a+2a+6\right)}{-4}$$

Pahekotia te 3a^{2} me 3a^{2}, ka 6a^{2}.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{3}+6a^{2}+9a+2a+6\right)}{-4}$$

Pahekotia te 9a me 2a, ka 11a.

$$\frac{a^{3}-6a^{2}+11a-6-\left(a^{3}+6a^{2}+11a+6\right)}{-4}$$

Hei kimi i te tauaro o a^{3}+6a^{2}+11a+6, kimihia te tauaro o ia taurangi.

$$\frac{a^{3}-6a^{2}+11a-6-a^{3}-6a^{2}-11a-6}{-4}$$

Pahekotia te a^{3} me -a^{3}, ka 0.

$$\frac{-6a^{2}+11a-6-6a^{2}-11a-6}{-4}$$

Pahekotia te -6a^{2} me -6a^{2}, ka -12a^{2}.

$$\frac{-12a^{2}+11a-6-11a-6}{-4}$$

Pahekotia te 11a me -11a, ka 0.

$$\frac{-12a^{2}-6-6}{-4}$$

Tangohia te 6 i te -6, ka -12.

$$\frac{-12a^{2}-12}{-4}$$