What is the third term in the expansion of (x-3y)^4

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11-12-2017
Mathematics

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What is the third term in the expansion of (x-3y)^4

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THEBRAINLY1 THEBRAINLY1 · Answer 1 · 2017-12-11T07:02:39+01:00

THEBRAINLY1 THEBRAINLY1

11-12-2017

[tex](x - 3y) {}^{4} = x {}^{4} - 4x {}^{3}3y + 6x {}^{2} (3y) {}^{2} - 4x(3y) {}^{3} + (3y) {}^{4} \\ = x {}^{4} - 12x {}^{3}y + 54x {}^{2}y {}^{2} - 108xy {}^{3} + 81y {}^{4} \\ hence \: third \: term \: is \: 54x {}^{2} y {}^{2} [/tex]

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