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(2x-4y)^4 extend plz
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use binomial theorem
or do like this : \[(2x-y)^2(2x-y)^2\] \[(4x^2+y^2-4xy)(4x^2+y^2-4xy)\]
simplify this
Best to use binomial theorem
\[(2x-4y)^{2}(2x-4y)^{2}\]\[(2x(2x-4y)-4y(2x-4y))(2x(2x-4y)-4y(2x-4y))\]\[(4x ^{2}-8xy-8xy+16y ^{2})(4x ^{2}-8xy-8xy+16y ^{2})\]\[(4x ^{2}-16xy+16y ^{2})(4x ^{2}-16xy+16y ^{2})\]\[4x ^{2}(4x ^{2}-16xy+16y ^{2})-16xy(4x ^{2}-16xy+16y ^{2})+16y ^{2}(4x ^{2}-16xy+16y ^{2})\]\[16x ^{4}-64x ^{3}y+64x ^{2}y ^{2}-64x ^{3}y+256x ^{2}y ^{2}-256xy ^{3}+64x ^{2}y ^{2}-256xy ^{3}+256y ^{4}\]\[16x ^{4}+384x ^{2}y ^{2}-512xy ^{3}+256y ^{4}\]
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16x^4 + 4(8x^3)(-4y) + 6(4x^2)(16y^2) + 4(2x)(-64y^3) + (256y^4) Now just simplify this. 16x^4+384x^2y^2-512xy^3+256y^4
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