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Mathematics 14 Online
OpenStudy (anonymous):

How do i factor x^4+16^2+64

OpenStudy (anonymous):

\[x ^{4}+8x^{2}+8^{2}+\]

OpenStudy (anonymous):

x4 + 8x2 +8x2 +64

OpenStudy (anonymous):

take common x2( x2+8) + 8 ( x2 + 8)

OpenStudy (anonymous):

again take common (x2+8)(x2+8)

OpenStudy (anonymous):

or simply (x2+8)^2

OpenStudy (anonymous):

Okay i did all of that which im okay with. But then i get x^4+8x^2+64+8x^2.... So when i add up both 8x^2..... I come up with 16x^4..... When its suppose to be 16x^2..... Or do i not add the x^2's?

OpenStudy (anonymous):

rearrange : \[x ^{4} + 8x ^{2} + 8x ^{2}+ 64\]

OpenStudy (anonymous):

now take common: \[x ^{2} (x ^{2} + 8) + 8(x^{2} + 8)\]

OpenStudy (anonymous):

\[x ^{2}+8 \] is common again. so take common.

OpenStudy (anonymous):

\[(x ^{2} + 8 ) (x ^{2} +8)\] is your answer

OpenStudy (anonymous):

Can x^4+13x^2+1 be factored out

OpenStudy (anonymous):

No. Use quadratic formula for this one.

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