EmmaTelpis EmmaTelpis

13-09-2021
Mathematics

contestada

write the expression as a square of a binomial

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

Respuesta :

13-09-2021

Answer:

[tex](x^2 -4y^2)^2[/tex]

Step-by-step explanation:

[tex]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[/tex]

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