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What is the expanded form of 3x(x+2)^2?

 Mar 7, 2015

Best Answer 

 #1
avatar+808 
+5

3x(x+2)2      Recall that: (a + b)2 = a2 + 2ab + b2:

 

3x(x2 + 4x + 4)        

 

You have to multiply 3x w/ all the terms inside the paranthesis. You can start off w/ only the x, to avoid careless mistakes.

 

3(x3 + 4x2 + 4x)      multiply all the terms inside the paranthesis by 3:

 

3x3 + 12x2 + 12x

 Mar 7, 2015
 #1
avatar+808 
+5
Best Answer

3x(x+2)2      Recall that: (a + b)2 = a2 + 2ab + b2:

 

3x(x2 + 4x + 4)        

 

You have to multiply 3x w/ all the terms inside the paranthesis. You can start off w/ only the x, to avoid careless mistakes.

 

3(x3 + 4x2 + 4x)      multiply all the terms inside the paranthesis by 3:

 

3x3 + 12x2 + 12x

Tetration Mar 7, 2015

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