Elizabethhart9idn
Answered

Find expert answers and community support for all your questions on IDNLearn.com. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.

Factor the following expression completely
X4-y4

Factor The Following Expression Completely X4y4 class=

Sagot :

[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]
Deathstrike001idn
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
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.