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(3x-4)^3 equals what in standard form?

 Aug 18, 2015

Best Answer 

 #2
avatar+128090 
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(3x-4)^3   .....we can use the Binomial Theorem, here......we have

 

C(3,0)*(3x)^3 - C(3,1)*(3x)^2*(4) + C(3,2)*(3x)*(4)^2 - C(3,3)*(4)^3  =

 

27x^3 - (3)(9x^2)(4) + 3(3x)(16) - 64 =

 

27x^3 - 108x^2 + 144x - 64

 

 Aug 18, 2015
 #1
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3^3. x^3 - 4^3

27x^3 - 64

 Aug 18, 2015
 #2
avatar+128090 
+5
Best Answer

(3x-4)^3   .....we can use the Binomial Theorem, here......we have

 

C(3,0)*(3x)^3 - C(3,1)*(3x)^2*(4) + C(3,2)*(3x)*(4)^2 - C(3,3)*(4)^3  =

 

27x^3 - (3)(9x^2)(4) + 3(3x)(16) - 64 =

 

27x^3 - 108x^2 + 144x - 64

 

CPhill Aug 18, 2015

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