emilybb195
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Please Answer??? The binomial expansion of (2x-y)^3 is
A. x^3 - 3x^2y +3xy^2 -y^3
B. 8x^3-12x^2y+6xy^2-y^3
C. 2^3(x^3-3x^2y+3xy^2-y^3
D. x^3-6x^2y+12xy^2-8y^2

Respuesta :

KermitTheRebelFrog
Your answer is B. 

I hope this helped :-)

Could I have brainly-ist?

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

[tex](2x-y)^3[/tex]

Binomial expansion of given expression is

[tex](2x)^3-3(2x)^2(y)+3(2x)(y)^2-(y)^3[/tex]      [tex][\because (a-b)^3=a^3-3a^2b+3ab^2-b^3][/tex]

[tex]8x^3-3(4x^2)y+6xy^2-y^3[/tex]

[tex]8x^3-12x^2y+6xy^2-y^3[/tex]

The binomial expansion of given expression is [tex]8x^3-12x^2y+6xy^2-y^3[/tex]

Therefore the correct option is B.

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