Factorise 3x⁴-4y⁴ completely

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asked Jan 17, 2022 201k views

4 votes

Factorise 3x⁴-4y⁴ completely

Mathematics
college

Angel Venchev asked

by Angel Venchev

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5 votes

Answer:

Explanation:

$3x^4-4y^4\\=(√(3)x^2)^2-(2y^2)^2)\\=(√(3)x^2+2y^2)(√(3)x^2-2y^2)\\=(√(3) x^(2) +2y^(2) )((3^{(1)/(4) } x)^2-(√(2) y)^(2) )\\=(√(3) x^(2) +2y^(2) )(3^{(1)/(4) } x+√(2) y)(3^{(1)/(4) } x-√(2) y)$

Waleed Asender answered Jan 22, 2022

by Waleed Asender

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