@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
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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)
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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
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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