# SOLUTION: Please help me expand and simplify this: (2x+3)^2+3(x+1)^2. I tried expanding it- but failed to do so. I'm not sure of how to solve this problem but know that the answer is: 7x^2+

Algebra ->  Algebra  -> Expressions -> SOLUTION: Please help me expand and simplify this: (2x+3)^2+3(x+1)^2. I tried expanding it- but failed to do so. I'm not sure of how to solve this problem but know that the answer is: 7x^2+      Log On

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 Question 627699: Please help me expand and simplify this: (2x+3)^2+3(x+1)^2. I tried expanding it- but failed to do so. I'm not sure of how to solve this problem but know that the answer is: 7x^2+18x+12. When I tried solving it, I got: 5x^2+9x+12. Here are my steps: Expand and Simplify: (2x+3)^2+3(x+1)^2 1. 2x^2+6x+9+3[x^2+x+1] For step 1, I multiplied 2x by the power of 2 which i got: 2x^2, then three times 2 which i got 6x and then i multiplied 3 times 3, which i got 9. 2. 2x^2+6x+9+3x^2+3x+3 I then multiplied 3 times x^2 which i got 3x^2, then i multiplied 3 times x, which i got 3x and then i multiplied 3 times 1 which is three. Lastly, I gathered the like terms and did steps according to the negative and positive terms and as an answer, I got: 5x^2+9x+12.Found 2 solutions by ewatrrr, solver91311:Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!  Hi, (2x+3)^2 +3(x+1)^2 1. x^2+x+9 + 3[x^2+x+1] 7x^2 + 18x + 12 Note: (2x+3)^2 = (2x+3)(2x+3) F First terms 4x^2 O Outside terms 6x I Inside terms 6x L Last terms 9 (x+1)^2 = (x+1)(x+1) F First terms x^2 O Outside terms x I Inside terms x L Last terms 1 Answer by solver91311(16868)   (Show Source): You can put this solution on YOUR website! Your step 1 is incorrect. Write it out in expanded form and then use FOIL. Firsts: times . Outsides: times . Insides: times . Lasts: times Then Now add like terms: John My calculator said it, I believe it, that settles it