SOLUTION: Simplify the expression: ( 4 x + 1 ) 2 + (2 x - 4 ) 2 Choose the correct answer from the following: 20x 2 - 8x + 17 12x 2 - 8x + 15 4x 2 + 8x - 15

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Question 145203: Simplify the expression:
( 4 x + 1 ) 2 + (2 x - 4 ) 2
Choose the correct answer from the following:
20x 2 - 8x + 17
12x 2 - 8x + 15
4x 2 + 8x - 15
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First FOIL

Start with the given expression


Expand. Remember something like


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:


Multiply the Outer terms:


Multiply the Inner terms:


Multiply the Last terms:


Now collect every term to make a single expression



Now combine like terms


So foils and simplifies to

In other words,







Now let's FOIL



Expand. Remember something like


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:


Multiply the Outer terms:


Multiply the Inner terms:


Multiply the Last terms:


Now collect every term to make a single expression



Now combine like terms


So foils and simplifies to

In other words,






So now becomes


Start with the given expression


Combine like terms



So
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