Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).

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23-09-2017
Mathematics

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Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).

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kphung76127 kphung76127 · Answer 1 · 2017-09-23T23:42:22+02:00

kphung76127 kphung76127

23-09-2017

The factored form is (y^2+9)(y^2-9).

Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9

From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)

Hope this helps!

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