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What is (x+4)^4 expanded

 Feb 15, 2017

Best Answer 

 #3
avatar+26397 
+10

What is (x+4)^4 expanded

 

(x+4)4=[(x+4)2]2|(x+4)2=x2+8x+16=(x2+8x+16)2=[x2+(8x+16)]2=(x2)2+2x2(8x+16)+(8x+16)2|(8x+16)2=(8x)2+28x16+162=(x2)2+2x2(8x+16)+(8x)2+28x16+162=x4+2x28x+2x216+64x2+256x+256=x4+16x3+32x2+64x2+256x+256=x4+16 x3+94x2+256x+256

 

laugh

 Feb 16, 2017
 #1
avatar+234 
0

(x+4)^4 is the same as (x+4)(x+4)(x+4)(x+4)

which can be further simplified to 4x+256

;)

 Feb 15, 2017
 #2
avatar+37168 
0

I just went to WolframAlpha :

 

 Feb 15, 2017
 #3
avatar+26397 
+10
Best Answer

What is (x+4)^4 expanded

 

(x+4)4=[(x+4)2]2|(x+4)2=x2+8x+16=(x2+8x+16)2=[x2+(8x+16)]2=(x2)2+2x2(8x+16)+(8x+16)2|(8x+16)2=(8x)2+28x16+162=(x2)2+2x2(8x+16)+(8x)2+28x16+162=x4+2x28x+2x216+64x2+256x+256=x4+16x3+32x2+64x2+256x+256=x4+16 x3+94x2+256x+256

 

laugh

heureka Feb 16, 2017

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