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Factor completely 81x4 − 16. (3x − 2)(3x − 2)(9x2 + 4) (3x − 2)(3x + 2)(9x2 − 4) (3x − 2)(3x + 2)(9x2 + 4) (3x + 2)(3x + 2)(9x2 + 4)

Factor completely 81x4 − 16. (3x − 2)(3x − 2)(9x2 + 4) (3x − 2)(3x + 2)(9x2 − 4) (3x − 2)(3x + 2)(9x2 + 4) (3x + 2)(3x + 2)(9x2 + 4)
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Factor completely 81x4 − 16.

(3x − 2)(3x − 2)(9x2 + 4)
(3x − 2)(3x + 2)(9x2 − 4)
(3x − 2)(3x + 2)(9x2 + 4)
(3x + 2)(3x + 2)(9x2 + 4)

asked
User Tks
by
8.0k points

1 Answer

3 votes


(9x^(2) +4)(3x+2)(3x-2)

Option C

Explanation:

Given,


81x^(4) -16

To find the factors.

Formula:


a^(2) -b^(2)= (a+b)(a-b)

Now,


81x^(4) -16

=
(9x^(2) )^(2)-4^(2)

=
(9x^(2)+4)(9x^(2)-4)

=
(9x^(2)+4) ((3x)^(2) -2^(2) )

=
(9x^(2) +4)(3x+2)(3x-2)

answered
User Inhuretnakht
by
8.0k points
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