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Mathematics 15 Online
OpenStudy (anonymous):

How do I factor this polynomial?

OpenStudy (anonymous):

\[x ^{2}-6x+9-4y ^{y}\]

OpenStudy (anonymous):

that's not a polynomal... that last term is \[\huge 4y^y \]

OpenStudy (anonymous):

Oops, it has to be squared. I'm sorry.

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

Can you help?

OpenStudy (anonymous):

i'm trying...:)

OpenStudy (anonymous):

ok... so this is your POLYNOMIAL: \[\huge x^2-6x+9-4y^2 \] correct?

OpenStudy (anonymous):

Yes. :)

OpenStudy (anonymous):

can you factor just this part: \(\large x^2-6x+9= \)

OpenStudy (anonymous):

And then what do I do with the 4y^12?

OpenStudy (anonymous):

did you factor it?

OpenStudy (anonymous):

do you need help?

OpenStudy (anonymous):

(x-3)(x-3)

OpenStudy (anonymous):

good notice it is a perfect square... so your problem can be written as:

OpenStudy (anonymous):

\[\huge x^2-6x+9-4y^2 \] =\[\huge (x-3)^2-4y^2 \] =\[\huge (x-3)^2-(2y)^2 \] now we have a difference of squares... do you know how to factor \(\large a^2-b^2= \)

OpenStudy (anonymous):

No, can you show me?

OpenStudy (anonymous):

|dw:1340155511206:dw|

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