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Mathematics 23 Online
OpenStudy (anonymous):

factor completely. 144r^2+648rt+729t^2

OpenStudy (saifoo.khan):

\[9 (4 r+9 t)(4 r+9 t)\]

OpenStudy (anonymous):

(12r+27t)^2

OpenStudy (anonymous):

I factored it to (12r+27t)(12r+27t) but when I simplified it i came up with 3(4r+9t)(4r+9t). how did you come up with 9 saifoo?

OpenStudy (anonymous):

did i do something wrong?

OpenStudy (saifoo.khan):

we will take out the GCF first, 144r^2+648rt+729t^2 \[9(16 r^2+72 r t+81 t^2)\] 9 is common in all three terms.

OpenStudy (anonymous):

yes it will be 9(4r+9t)(4r+9t) because 3*(4r+9t)*3*(4r+9t)

OpenStudy (anonymous):

I see!! thank you very much! I understand it now!

OpenStudy (saifoo.khan):

No problem! ^_^

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