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

Otras preguntas

How many miles will paez family drive each day if they decide to take 5 days to drive 865 mi to Dallas
what challenges did the people along the Indus River face
What is a population pyramid
5.4572 rounded to the nearest thousandths
write the expanded form or fraction 24.357
Shailee says there are a total of 30 hundred thousands in the number 3,000,000. Is Shailee correct? a. Yes, Shailee is correct. b. No, Shailee is not correct. T
estimate the total weight of two boxes that weigh 9.4 lb and 62.6 lb using rounding and compatible numbers. which estimate is closer to the actual total weight
Which was a result of Anne Hutchinson publicly questioning the teachings of Puritan leaders
Which one of the following acts is an example of body language? A. Employing the peripheral route of persuasion B. Showing prejudice C. Rolling of the eyes
What was the effect of the Louisiana Purchase?