elizabethhart9 elizabethhart9

21-03-2014
Mathematics

Answered

Factor the following expression completely

X4-y4

Factor the following expression completely X4-y4 class=

Verified Answer :

Anonymous Anonymous

21-03-2014

\(x^4-y^4=\left(x^2\right)^2-\left(y^2\right)^2=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)\\\\\\a^2-b^2=(a-b)(a+b)\)

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deathstrike001 deathstrike001

21-03-2014

1)(x-y)(x+y)(x^2+y^2)
=(x^2-y^2)(x^2+y^2)
=x^4-y^4

2)(x-y)^2(x+y)^2
=(x^2-2xy+y^2)(x^2+2xy+y^2)
=x^4+y^4

3)(x-y)^4
=x^4-4x^3y+6x^2y^2-4xy^3+y^2

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

Answer Link

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