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27x^{9}+8y^{6}
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27x^{9}+8y^{6}
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3x^{3}\left(9x^{6}-6x^{3}y^{2}\right)+12x^{3}y^{4}+2y^{2}\left(9x^{6}-6x^{3}y^{2}\right)+8y^{6}
Use the distributive property to multiply 3x^{3}+2y^{2} by 9x^{6}-6x^{3}y^{2}+4y^{4}.
27x^{9}-18x^{6}y^{2}+12x^{3}y^{4}+2y^{2}\left(9x^{6}-6x^{3}y^{2}\right)+8y^{6}
Use the distributive property to multiply 3x^{3} by 9x^{6}-6x^{3}y^{2}.
27x^{9}-18x^{6}y^{2}+12x^{3}y^{4}+18y^{2}x^{6}-12y^{4}x^{3}+8y^{6}
Use the distributive property to multiply 2y^{2} by 9x^{6}-6x^{3}y^{2}.
27x^{9}+12x^{3}y^{4}-12y^{4}x^{3}+8y^{6}
Combine -18x^{6}y^{2} and 18y^{2}x^{6} to get 0.
27x^{9}+8y^{6}
Combine 12x^{3}y^{4} and -12y^{4}x^{3} to get 0.
3x^{3}\left(9x^{6}-6x^{3}y^{2}\right)+12x^{3}y^{4}+2y^{2}\left(9x^{6}-6x^{3}y^{2}\right)+8y^{6}
Use the distributive property to multiply 3x^{3}+2y^{2} by 9x^{6}-6x^{3}y^{2}+4y^{4}.
27x^{9}-18x^{6}y^{2}+12x^{3}y^{4}+2y^{2}\left(9x^{6}-6x^{3}y^{2}\right)+8y^{6}
Use the distributive property to multiply 3x^{3} by 9x^{6}-6x^{3}y^{2}.
27x^{9}-18x^{6}y^{2}+12x^{3}y^{4}+18y^{2}x^{6}-12y^{4}x^{3}+8y^{6}
Use the distributive property to multiply 2y^{2} by 9x^{6}-6x^{3}y^{2}.
27x^{9}+12x^{3}y^{4}-12y^{4}x^{3}+8y^{6}
Combine -18x^{6}y^{2} and 18y^{2}x^{6} to get 0.
27x^{9}+8y^{6}
Combine 12x^{3}y^{4} and -12y^{4}x^{3} to get 0.
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