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| Question 321673:  factor completely 9a^2+24a+16
 Answer by ehollins1(8)
      (Show Source): 
You can put this solution on YOUR website! =9a^2+24a+16 possible factors for a^2: 1,a,a^2 =(a+)(a+) possible factors for 9: 1,3,9
 =(3a+ )(3a+ ) possible factors for 24: 1,2,3,4,6,8,12,24 possible factors for 16: 1,2,4,8,16 LCM: 4
 =(3a+4)(3a+4)
 solution:(3a+4)(3a+4)
 *****check solution*****
 =(3a+4)(3a+4)
 =(3a*3a)+(3a*4)+(4*3a)+(4*4)
 =9a^2+12a+12a+16
 =9a^2+24a+16
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