Question

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

Answer 1

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