Whakaoti i te (a^{2}+4ab+3b^2)^2-(a+b)(a-3b)(a-b)(a+3b)-4ab(2a^2+7ab+6b^2)

$$( a ^ { 2 } + 4 a b + 3 b ^ { 2 } ) ^ { 2 } - ( a + b ) ( a - 3 b ) ( a - b ) ( a + 3 b ) - 4 a b ( 2 a ^ { 2 } + 7 a b + 6 b ^ { 2 } )$$

Aromātai

$$4\left(ab\right)^{2}$$

Ngā Upane Otinga

Pūrua a^{2}+4ab+3b^{2}.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a+b\right)\left(a-3b\right)\left(a-b\right)\left(a+3b\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a-3b ka whakakotahi i ngā kupu rite.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a^{2}-2ab-3b^{2}\right)\left(a-b\right)\left(a+3b\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{2}-2ab-3b^{2} ki te a-b ka whakakotahi i ngā kupu rite.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a^{3}-3a^{2}b-ab^{2}+3b^{3}\right)\left(a+3b\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{3}-3a^{2}b-ab^{2}+3b^{3} ki te a+3b ka whakakotahi i ngā kupu rite.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a^{4}-10a^{2}b^{2}+9b^{4}\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Hei kimi i te tauaro o a^{4}-10a^{2}b^{2}+9b^{4}, kimihia te tauaro o ia taurangi.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-a^{4}+10a^{2}b^{2}-9b^{4}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Pahekotia te a^{4} me -a^{4}, ka 0.

$$22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}+10a^{2}b^{2}-9b^{4}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Pahekotia te 22a^{2}b^{2} me 10a^{2}b^{2}, ka 32a^{2}b^{2}.

$$32a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-9b^{4}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Pahekotia te 9b^{4} me -9b^{4}, ka 0.

$$32a^{2}b^{2}+24ab^{3}+8ba^{3}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4ab ki te 2a^{2}+7ab+6b^{2}.

$$32a^{2}b^{2}+24ab^{3}+8ba^{3}-8a^{3}b-28a^{2}b^{2}-24ab^{3}$$

Pahekotia te 8ba^{3} me -8a^{3}b, ka 0.

$$32a^{2}b^{2}+24ab^{3}-28a^{2}b^{2}-24ab^{3}$$

Pahekotia te 32a^{2}b^{2} me -28a^{2}b^{2}, ka 4a^{2}b^{2}.

$$4a^{2}b^{2}+24ab^{3}-24ab^{3}$$

Pahekotia te 24ab^{3} me -24ab^{3}, ka 0.

$$4a^{2}b^{2}$$

Whakaroha

$$4\left(ab\right)^{2}$$

Ngā Upane Otinga

Pūrua a^{2}+4ab+3b^{2}.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a+b\right)\left(a-3b\right)\left(a-b\right)\left(a+3b\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a-3b ka whakakotahi i ngā kupu rite.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a^{2}-2ab-3b^{2}\right)\left(a-b\right)\left(a+3b\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{2}-2ab-3b^{2} ki te a-b ka whakakotahi i ngā kupu rite.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a^{3}-3a^{2}b-ab^{2}+3b^{3}\right)\left(a+3b\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te a^{3}-3a^{2}b-ab^{2}+3b^{3} ki te a+3b ka whakakotahi i ngā kupu rite.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-\left(a^{4}-10a^{2}b^{2}+9b^{4}\right)-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Hei kimi i te tauaro o a^{4}-10a^{2}b^{2}+9b^{4}, kimihia te tauaro o ia taurangi.

$$a^{4}+22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-a^{4}+10a^{2}b^{2}-9b^{4}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Pahekotia te a^{4} me -a^{4}, ka 0.

$$22a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}+10a^{2}b^{2}-9b^{4}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Pahekotia te 22a^{2}b^{2} me 10a^{2}b^{2}, ka 32a^{2}b^{2}.

$$32a^{2}b^{2}+24ab^{3}+9b^{4}+8ba^{3}-9b^{4}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Pahekotia te 9b^{4} me -9b^{4}, ka 0.

$$32a^{2}b^{2}+24ab^{3}+8ba^{3}-4ab\left(2a^{2}+7ab+6b^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4ab ki te 2a^{2}+7ab+6b^{2}.

$$32a^{2}b^{2}+24ab^{3}+8ba^{3}-8a^{3}b-28a^{2}b^{2}-24ab^{3}$$

Pahekotia te 8ba^{3} me -8a^{3}b, ka 0.

$$32a^{2}b^{2}+24ab^{3}-28a^{2}b^{2}-24ab^{3}$$

Pahekotia te 32a^{2}b^{2} me -28a^{2}b^{2}, ka 4a^{2}b^{2}.

$$4a^{2}b^{2}+24ab^{3}-24ab^{3}$$

Pahekotia te 24ab^{3} me -24ab^{3}, ka 0.

$$4a^{2}b^{2}$$