julissajulie712 julissajulie712
  • 09-01-2019
  • Mathematics
contestada

He variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Respuesta :

gmany
gmany gmany
  • 09-01-2019

[tex]A=x^2\\B=3x+2\\C=x-3\\\\AB-C^2\\\text{Substitute:}\\\\(x^2)(3x+2)-(x-3)^2\\\\\text{Use distributive property}\ a(b+c)=ab+ac\\\text{and}\ (a-b)^2=a^2-2ab+b^2:\\\\(x^2)(3x)+(x^2)(2)-[x^2-(2)(x)(3)+3^2]\\\\=3x^3+2x^2-x^2+6x-9\\\\=\boxed{3x^3+x^2+6x-9}[/tex]

Answer Link

Otras preguntas

A blood clot in the brain can cause a stroke. a. True b. False
give 2 reasons why cells divide
which is more 2/4 or 2/8
Can somebody help me in this question?
What is the balanced complete ionic equation for K2SO4(aq)+CaI2(aq)=CaSO4(s)+KI(aq)
In Frankenstein, Mr. De Lacey treats the creature with kindness. Which theme relates to Mr. De Lacey's action?
In the play, Julius Caesar, why does Brutus eventually decide to go along with the plot to kill his friend Caesar? A. He has always secretly hated Cesar B. He
How did the inventors keep the barrel of the machine gun from melting? A They were made from a different kind of steel B They didn't, the guns melted all the ti
Research has shown that the more statistics you use, the more effective your speech is likely to be. true or false.
What is the purpose of the introduction in an essay