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What is the factored form of 3c²+24c+48 ?

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1st step factor 3 out of each number in the equation to get:

3(c^2+8c+16)

16 can be rewritten as 4^2 to get:
3(c^2+8c+4^2)

4+4 = 8 ( the middle number)

so the factor would be 3(c+4)^2


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