lollipoplolo212
lollipoplolo212 lollipoplolo212
  • 01-02-2018
  • Mathematics
contestada

Factor completely 81x2 − 4. (6 points) (2x − 9)(2x − 9) (2x − 9)(2x + 9) (9x − 2)(9x − 2) (9x − 2)(9x + 2)

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bianeyxp
bianeyxp bianeyxp
  • 01-02-2018
(9x-2)(9x+2)
81x^2+18x-18x-4
81x^2-4
Answer Link
SociometricStar
SociometricStar SociometricStar
  • 15-07-2019

Answer:

[tex](9x+2)(9x-2)[/tex]

Last option is correct.

Step-by-step explanation:

The given expression is [tex]81x^2-4[/tex]

Write the expression in perfect squares

[tex](9x)^2-2^2[/tex]

Apply the difference of squares formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

Here, a = 9x, b = 2

[tex](9x)^2-2^2\\\\=(9x+2)(9x-2)[/tex]

Therefore, the factored form is [tex](9x+2)(9x-2)[/tex]

Last option is correct.

Answer Link

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