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Mathematics 112 Online
OpenStudy (firejay5):

@Chme Factor each Polynomial. Show your work. Solve using Difference of Squares: A^2 - B^2 = (a -b) (a + b) Differences of Cubes: A^3 - B^3 = (A - b) (a^2 + ab + b^2) Sum of Cubes: A^3+ B^3 = (a + b) (a^2 - ab + b^2) 4. 3x^2 - 27y^2

OpenStudy (anonymous):

They both have a 3 in common so let's get rid of that first. Factor out like terms first. 3(x^2-9y^2) Now I want you to think about Difference in squares

OpenStudy (firejay5):

so would it be 3(x^2 - 9y^2) 3(x^2 + 9y^2)

OpenStudy (anonymous):

Nope. For example i want you to distribute this for me (x-3y)(x+3y)

OpenStudy (firejay5):

oh okay and it gets 3(x^2 - 9y^2)

OpenStudy (anonymous):

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

OpenStudy (firejay5):

what would be the answer then

OpenStudy (anonymous):

\[(x-3y)(x+3y)\leftarrow \rightarrow x^2-9y^2\]

OpenStudy (anonymous):

So what is 3(x^2-9y^2) factored

OpenStudy (firejay5):

(x - 3y) (x +3y)

OpenStudy (anonymous):

Don't forget the 3 out in front

OpenStudy (firejay5):

oh yea thanks! :D You're good at this

OpenStudy (firejay5):

I have a total of 15, so I need your help on half of them

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