Answers

2014-09-11T11:54:39+05:30

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(2x-y+3z) (4 x^{2} + y^{2} +9 z^{2} +2xy+3yz+6xz) \\ \\ 8 x^3+2xy^2+18xz^2+4x^2y +6xyz+12x^2z-4x^2y-y^3-9yz^2-2xy^2\\-3y^2z-6xyz+12x^2z+3y^2z+27z^3+6xyz+9yz^2+18xz^2 \\ \\ 8x^3-y^3+27z^3+36xz^2+6xyz+24x^2z \\
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Expression in question seems to have been incorrectly by shri Aditya. It most likely is
Expression should be (2x-y+3z) (4x^2+y^2+9z^2+2xy+3yz - 6xz)
In that case it becomes = (2x)^3 + (-y)^3 + (3z)^3^ -3(2x)(-y)(3z) as per the identity a^3 +b^3 + c^3 -3abc = (a+b+c)(a^2 +b^2 +c^2 -ab -bc -ca). Mr. Aditya, please check.
2014-09-11T12:11:03+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
(2x-y+3z) (4x²+y²+9z²+2xy+3yz+6xz)
= 2x(4x²+y²+9z²+2xy+3yz+6xz) -y(4x²+y²+9z²+2xy+3yz+6xz) +3z(4x²+y²+9z²+2xy+3yz+6xz)

= 8x³+ 2xy²+ 18xz²+ 4x²y+ 6xyz+ 12x²z- 4x²y- y³- 9yz²- 2xy²- 3xy²- 6xyz+ 12x²z+ 3y²z+ 27z³+ 6xyz+ 9yz²+ 18xz²

= 8x³- y³+ 27z³+ 36xz²+ 6xyz+ 24x²z[Answer]
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