Mathematics
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OpenStudy (anonymous):
Help Please
Factor completely: 16x4 – 1
A.
(2x + 1)^3(2x – 1)
B.
(4x^2 + 1)(2x + 1)(2x – 1)
C.
(4x + 1)(4x – 1)
D.
(4x^2 + 1)(4x^2 – 1)
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OpenStudy (anonymous):
16x^4-1
OpenStudy (anonymous):
u need that factored also
OpenStudy (anonymous):
(2x+1)^3(2x-1)
Polynomial not factorable
OpenStudy (anonymous):
That's the original one, I just corrected it
OpenStudy (anonymous):
B. (4x^2+1) (2x+1) (2x-1)
Answer: Not factorable
C. (4x+1) (4x-1)
Answer: Not Factorable
D. (4x^2+1) (4x^2-1)
Answer: (4x^2+1)(2x+1)(2x-1)
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OpenStudy (anonymous):
To get the answer you're supposed to factor 16x^4-1, not factor the answer choices.
OpenStudy (anonymous):
oh lol im very sorry
OpenStudy (anonymous):
let me do that
OpenStudy (anonymous):
anyways the answer is D.
OpenStudy (anonymous):
Thanks for the medal
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OpenStudy (anonymous):
No problem
OpenStudy (anonymous):
@aajugdar
OpenStudy (anonymous):
you can write this equation as
\[((4x^2)^2 - 1^2) = (4x^2-1)(4x^2+1)\]
OpenStudy (anonymous):
by the formula a^2-b^2 = (a+b)(a-b)
OpenStudy (anonymous):
and there is more
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OpenStudy (anonymous):
you see \[4x^2-1 \] can be written as \[(2x)^2-1^2 = (2x+1)(2x-1)\]
OpenStudy (anonymous):
so the final answer you get is \[(4x^2+1) (2x+1)(2x-1)\]
OpenStudy (anonymous):
which is option B :)
OpenStudy (anonymous):
easy,right?
OpenStudy (anonymous):
ohhhh im i see what u did
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OpenStudy (anonymous):
Thanks
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
welcome