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What is (2+y)³ written out?

 Mar 8, 2015

Best Answer 

 #2
avatar
+5

(2+y)3

= ((2+y)x(2+y))x(2+y)

= (4+4y+y2) x (2+y)

= 8 + 8y + 2y2 + 4y + 4y2 + y3

= y3 + 6y2 + 12y + 8

 Mar 8, 2015
 #1
avatar+26400 
+5

What is  (2+y)³ written out ?

$$\small{\text{
$(2+y)^3 = \ ?
$}}\\
\small{\text{
$(2+y)^3 = \textcolor[rgb]{1,0,0}{1} \cdot 2^3 \cdot y^0
+ \textcolor[rgb]{1,0,0}{3} \cdot 2^2 \cdot y^1
+ \textcolor[rgb]{1,0,0}{3} \cdot 2^1 \cdot y^2
+ \textcolor[rgb]{1,0,0}{1} \cdot 2^0 \cdot y^3
$}}\\
\small{\text{
$(2+y)^3 = 8\cdot y^0
+ 12\cdot y^1
+ 6 y^2
+ y^3
$}}\\
\small{\text{
$(2+y)^3 = 8
+ 12 y
+ 6 y^2
+ y^3
$}}\\$$

 

 Mar 8, 2015
 #2
avatar
+5
Best Answer

(2+y)3

= ((2+y)x(2+y))x(2+y)

= (4+4y+y2) x (2+y)

= 8 + 8y + 2y2 + 4y + 4y2 + y3

= y3 + 6y2 + 12y + 8

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