Whakaoti i te (x^{3}-y^{3}+3xy)^{2}-(x^{3}+y^3+3xy)^2+4xy^3(x^2+3y)

$$( x ^ { 3 } - y ^ { 3 } + 3 x y ) ^ { 2 } - ( x ^ { 3 } + y ^ { 3 } + 3 x y ) ^ { 2 } + 4 x y ^ { 3 } ( x ^ { 2 } + 3 y )$$

Aromātai

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Ngā Upane Otinga

Pūrua x^{3}-y^{3}+3xy.

$$x^{6}-2x^{3}y^{3}+9x^{2}y^{2}-6xy^{4}+y^{6}+6yx^{4}-\left(x^{3}+y^{3}+3xy\right)^{2}+4xy^{3}\left(x^{2}+3y\right)$$

Pūrua x^{3}+y^{3}+3xy.

$$x^{6}-2x^{3}y^{3}+9x^{2}y^{2}-6xy^{4}+y^{6}+6yx^{4}-\left(x^{6}+2x^{3}y^{3}+9x^{2}y^{2}+6xy^{4}+y^{6}+6yx^{4}\right)+4xy^{3}\left(x^{2}+3y\right)$$

Hei kimi i te tauaro o x^{6}+2x^{3}y^{3}+9x^{2}y^{2}+6xy^{4}+y^{6}+6yx^{4}, kimihia te tauaro o ia taurangi.

$$x^{6}-2x^{3}y^{3}+9x^{2}y^{2}-6xy^{4}+y^{6}+6yx^{4}-x^{6}-2x^{3}y^{3}-9x^{2}y^{2}-6xy^{4}-y^{6}-6yx^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Pahekotia te x^{6} me -x^{6}, ka 0.

$$-2x^{3}y^{3}+9x^{2}y^{2}-6xy^{4}+y^{6}+6yx^{4}-2x^{3}y^{3}-9x^{2}y^{2}-6xy^{4}-y^{6}-6yx^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Pahekotia te -2x^{3}y^{3} me -2x^{3}y^{3}, ka -4x^{3}y^{3}.

$$-4x^{3}y^{3}+9x^{2}y^{2}-6xy^{4}+y^{6}+6yx^{4}-9x^{2}y^{2}-6xy^{4}-y^{6}-6yx^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Pahekotia te 9x^{2}y^{2} me -9x^{2}y^{2}, ka 0.

$$-4x^{3}y^{3}-6xy^{4}+y^{6}+6yx^{4}-6xy^{4}-y^{6}-6yx^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Pahekotia te -6xy^{4} me -6xy^{4}, ka -12xy^{4}.

$$-4x^{3}y^{3}-12xy^{4}+y^{6}+6yx^{4}-y^{6}-6yx^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Pahekotia te y^{6} me -y^{6}, ka 0.

$$-4x^{3}y^{3}-12xy^{4}+6yx^{4}-6yx^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Pahekotia te 6yx^{4} me -6yx^{4}, ka 0.

$$-4x^{3}y^{3}-12xy^{4}+4xy^{3}\left(x^{2}+3y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4xy^{3} ki te x^{2}+3y.

$$-4x^{3}y^{3}-12xy^{4}+4y^{3}x^{3}+12xy^{4}$$

Pahekotia te -4x^{3}y^{3} me 4y^{3}x^{3}, ka 0.

$$-12xy^{4}+12xy^{4}$$

Pahekotia te -12xy^{4} me 12xy^{4}, ka 0.

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Tauwehe

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