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

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

मूल्यांकन करचें

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सोडोवणी पांवडे

x^{3}-y^{3}+3xy वर्गमूळ.

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

x^{3}+y^{3}+3xy वर्गमूळ.

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

x^{6}+2x^{3}y^{3}+9x^{2}y^{2}+6xy^{4}+y^{6}+6yx^{4} चो विरोधी सोदूंक, दरेक सज्ञेचो विरोधी सोदचो.

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

0 मेळोवंक x^{6} आनी -x^{6} एकठांय करचें.

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

-4x^{3}y^{3} मेळोवंक -2x^{3}y^{3} आनी -2x^{3}y^{3} एकठांय करचें.

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

0 मेळोवंक 9x^{2}y^{2} आनी -9x^{2}y^{2} एकठांय करचें.

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

-12xy^{4} मेळोवंक -6xy^{4} आनी -6xy^{4} एकठांय करचें.

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

0 मेळोवंक y^{6} आनी -y^{6} एकठांय करचें.

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

0 मेळोवंक 6yx^{4} आनी -6yx^{4} एकठांय करचें.

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

x^{2}+3y न 4xy^{3} गुणपाक विभाजक विशमाचो वापर करचो.

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

0 मेळोवंक -4x^{3}y^{3} आनी 4y^{3}x^{3} एकठांय करचें.

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

0 मेळोवंक -12xy^{4} आनी 12xy^{4} एकठांय करचें.

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गुणकपद

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