What is the factored form of the following expressions?
x2 – 10xy + 24y2
A. (x + 6y)(x + 4y)
B. (x – 2y)(x + 12y)
C. (x + 2y)(x – 12y)
D. (x – 6y)(x – 4y)
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OpenStudy (anonymous):
I think the answer is b
OpenStudy (anonymous):
Not quite. What are factors of 24 that add up to -10?
OpenStudy (anonymous):
6 and 4
OpenStudy (anonymous):
so the answer is going to be d
OpenStudy (anonymous):
Yes, but just so you know, the factors were -6 an -4 because they add up to -10.
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OpenStudy (anonymous):
i know thanks. you going to be around for a while?
OpenStudy (anonymous):
Probably for a little longer.
OpenStudy (anonymous):
can you help me on this next one?
54c3d4 + 9c4d2
A. 9c3d2(d2 + 6c)
B. 9c3d2(6d2 + c)
C. 9c4d2(d2 + 6)
D. 9c4d2(6d2 + 1)
OpenStudy (anonymous):
What is the GCF of 54 and 9?
OpenStudy (anonymous):
9
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OpenStudy (anonymous):
Ok. What is the GCF of c^3 and c^4?
OpenStudy (anonymous):
c2
OpenStudy (anonymous):
Um no. Think of it this way.
c^3 = c * c * c
c^4 = c * c * c * c
See how there are 3 that can be taken out of both?
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
How about the GCF of d^4 and d^2?
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OpenStudy (anonymous):
d^2
OpenStudy (anonymous):
Alright. You're GCF is 9c^3d^2
\[9c^{3}d^{2}(\frac{54c^{3}d^{4}}{9c^{3}d^{2}} + \frac{9c^{4}d^{2}}{9c^{3}d^{2}})\]
OpenStudy (anonymous):
Can you finish this off?
OpenStudy (anonymous):
the answer is gooing to be b. 9c3d2(6d2 + c)
OpenStudy (anonymous):
Yup :)
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