elizabethhart9
elizabethhart9 elizabethhart9
  • 21-03-2014
  • Mathematics
Answered

Factor the following expression completely
X4-y4

Factor the following expression completely X4y4 class=


Answer :

Аноним Аноним
  • 21-03-2014
[tex]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)[/tex]
Answer Link
deathstrike001
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
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