hermannoah26
hermannoah26 hermannoah26
  • 25-06-2020
  • Mathematics
contestada

coefficient of x^2 in the expansion of (x-3)^3

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 25-06-2020

Answer:

[tex]-9[/tex]

Step-by-step explanation:

[tex](x-3)(x-3)(x-3)[/tex]

[tex](x^2-6x+9)(x-3)[/tex]

[tex]x^3-9x^2+27x-27[/tex]

Therefore, the coefficient of [tex]x^2[/tex] is [tex]-9[/tex].

Answer Link
ujalakhan18
ujalakhan18 ujalakhan18
  • 25-06-2020

Answer:

-9

Step-by-step explanation:

=> (x-3)³

=> (x-3)(x-3)(x-3)

=> (x²-6x+9)(x-3)

=> x³-3x²-6x²+18x+9x-27

=> [tex]x^3-9x^2+27x-27[/tex]

So, the coefficient of x² is -9

Answer Link

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