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Write the expression as a square of a binomial x^(4)-8x^(2)y^(2)+16y^(4)
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Write the expression as a square of a binomial

x^(4)-8x^(2)y^(2)+16y^(4)

User Arivero
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1 Answer

6 votes

Answer:


(x^2 -4y^2)^2

Explanation:


x^4 -8x^2 y^2 +16y^4 \\ x^4 -4x^2 y^2 -4x^2 y^2 +16y^4 \\ (x^4 -4x^2 y^2) +(-4x^2 y^2 +16y^4) \\ x^2(x^2 -4y^2) -4y^2(x^2 -4y^2) \\ (x^2 -4y^2)(x^2 -4y^2) \\ (x^2 -4y^2)^2

User Pernilla
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