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13-02-2018
Mathematics

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simplify (2×+y)(4x^2-2xy+y^2)

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18-02-2018

Simplify (2×+y)(4x^2-2xy+y^2)

[tex] (2x+y)(4x^2-2xy+y^2)= \\ \\ \\ (2x)(4x^2)+(2x)(-2xy)+(2x)(y^2) +y(4x^2)^+y(-2xy)+y(y^2)= \\ \\ \\ 8x^3-4x^2y+2xy^2+4x^2y-2xy^2+y^3= \\ \\ \\ \boxed{8x^3+y^3} \\ \\ \\ \boxed{(2x+y)(4x^2-2xy+y^2)=8x^3+y^3} [/tex]

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