SOLUTION: Hi simplify the following (2to the power of x)squared + 4 to the power of x+1. Thanks

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Question 1119645: Hi
simplify the following
(2to the power of x)squared + 4 to the power of x+1.
Thanks
Found 3 solutions by Shin123, Alan3354, MathTherapy:
Answer by Shin123(626) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the following
(2to the power of x)squared + 4 to the power of x+1.
-----------------
= %282%5Ex%29%5E2+%2B+4%5E%28x%2B1%29
= 2%5E%282x%29+%2B+2%5E%282x%2B2%29
= 2%5E%282x%29+%2B+4%2A2%5E%282x%29
= 5%2A2%5E%282x%29
or 5%2A4%5Ex

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
simplify the following
(2to the power of x)squared + 4 to the power of x+1.
Thanks
%282%5Ex%29%5E2+%2B+4%5E%28x+%2B+1%29 

2%5E%282x%29+%2B+%282%5E2%29%5E%28x+%2B+1%29 

2%5E%282x%29+%2B+2%5E%282x+%2B+2%29 

2%5E%282x%29+%2B+2%5E%282x%29+%2A+2%5E2%29 

2%5E%282x%29%281+%2B+2%5E2%29 ------- Factoring out GCF, 2%5E%282x%29

2%5E%282x%29%281+%2B+4%29