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OpenStudy (anonymous):
Part A: Factor 3x2y2 - xy2 - 2y2. Show your work.
Part B: Factor x2 + 6x + 9. Show your work.
Part C: Factor x2 - 25. Show your work.
Part D: Do the polynomials in parts A, B, and C have a common factor? Explain your answer.
OpenStudy (anonymous):
@partygirl
OpenStudy (anonymous):
@ShadowLegendX
OpenStudy (anonymous):
@FireWolfSpirit
OpenStudy (anonymous):
@TheMysteriousRainbowPegasus
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OpenStudy (anonymous):
@SolomonZelman
OpenStudy (solomonzelman):
what have you atempted?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
i really
OpenStudy (anonymous):
only need help with d
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OpenStudy (solomonzelman):
tell me what you got for parts A, B, and C.
OpenStudy (anonymous):
ok
one sec
OpenStudy (anonymous):
a: y^2((3x+2)(x-1))
b: x^2+6x+9
c: x^2-25
OpenStudy (anonymous):
i was thinking x, but im confused
OpenStudy (solomonzelman):
Parts:
A \(\large\color{black}{ 3x^2y^2 - xy^2 - 2y^2 }\)
B \(\large\color{black}{ x^2 + 6x + 9 }\)
C \(\large\color{black}{ x^2 -25 }\)
you need to factor each part.
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OpenStudy (solomonzelman):
will start from part C, okay?
OpenStudy (anonymous):
wait
OpenStudy (solomonzelman):
I can wait, sure...
OpenStudy (anonymous):
i have it
OpenStudy (anonymous):
i gave you the wrong thing
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OpenStudy (solomonzelman):
?? ... t
OpenStudy (anonymous):
a: is factored
b: (x+3)^2
c: (x+5)(x-5)
OpenStudy (solomonzelman):
for part A you can factor out \(\large\color{black}{ y^2 }\)
OpenStudy (anonymous):
y^2((3x+2)(x-1))
OpenStudy (solomonzelman):
and then factor the inner part, yes,
\(\large\color{black}{ y^2(x-1)(3x+2) }\)
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OpenStudy (solomonzelman):
So you get:
A: \(\large\color{black}{ y^2(x-1)(3x+2) }\)
B: \(\large\color{black}{ (x+3)^2 }\)
C: \(\large\color{black}{ (x+5)(x-5) }\)
OpenStudy (solomonzelman):
do A B and C have any common factors?
OpenStudy (anonymous):
x
OpenStudy (solomonzelman):
x is not a factor
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
then no
OpenStudy (solomonzelman):
the factors of part A are:
\(\large\color{black}{ \color{red}{y^2}\color{blue}{(x-1)}\color{green}{(3x+2)} }\)
OpenStudy (solomonzelman):
yes, they have no factors in common.
part A has: \(\large\color{black}{ y^2 }\) , \(\large\color{black}{ x-1 }\) and \(\large\color{black}{ 3x+2 }\)
part B has: \(\large\color{black}{ x+3 }\) twice
part C has: \(\large\color{black}{ x+5 }\) and \(\large\color{black}{ x-5 }\)