SOLUTION: 112s^2 + 392st + 343 t^2 i need to factor dont know were to start

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Question 443584: 112s^2 + 392st + 343 t^2
i need to factor dont know were to start
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Try factoring out a 7:
Then 112s%5E2+%2B+392st+%2B+343t%5E2+=+7%2816s%5E2+%2B+56st+%2B+49t%5E2%29
Notice 16s^2 and 49t^2 are perfect squares such that:
highlight%28%284s%29%29%5E2+=+16s%5E2
highlight%28%287t%29%29%5E2+=+49t%5E2
Then we have %2816s%5E2+%2B56st%2B49t%5E2%29+=+%284s%2B7t%29%5E2
So the complete factorization is :
highlight%287%284s%2B7t%29%5E2%29