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What is (2+y)³ written out?

 May 29, 2015

Best Answer 

 #1
avatar+128407 
+13

We can use the binomial expansion here, josh4444

 

(2 + y)^3   =

 

C(3,0)*2^3 + C(3,1)*(2)^2*y + C(3,2)*(2)*y^2 + C(3,3) y^3  =

 

2^3 + 3(2)^2*y + 3(2)*y^2 + y^3  =

 

8 + 12y + 6y^2 + y^3   or, in polynomial form,  y^3 + 6y^2 + 12y + 8

 

 

 

 May 29, 2015
 #1
avatar+128407 
+13
Best Answer

We can use the binomial expansion here, josh4444

 

(2 + y)^3   =

 

C(3,0)*2^3 + C(3,1)*(2)^2*y + C(3,2)*(2)*y^2 + C(3,3) y^3  =

 

2^3 + 3(2)^2*y + 3(2)*y^2 + y^3  =

 

8 + 12y + 6y^2 + y^3   or, in polynomial form,  y^3 + 6y^2 + 12y + 8

 

 

 

CPhill May 29, 2015

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