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

Which situation can be represented by the inequality 4x − 25 ≤ 125? A. Frank bought four tires for x dollars each. He had a coupon for a $25 discount. The tota
I need help with number 7!
Color 1/2 circle yellow and 2/4 of circle red are they equal
The charity needs more money so that it can increase its support for the homeless. Adverb Clause: Relationship:
Deer are mammals, and therefore have systems that are basically the same as other mammals. Which describes how gas exchange takes place? A. Oxygen is absorbed
Which of the following statements about remittances is false? A. Remittances are monies sent from a worker's host country to his or her home country. B. Remitta
What ideal of Renaissance art does Alberti single out in his description?
A substance is found to be made up of atoms from two elements. the substance is __________
More settlers moved westward after the War of 1812 for what two reasons? A.more jobs were available out West B.there was plenty of cheap land C.peace had been m
5.5 times the square root of 5 is the product rational , irrational,neither, or we don't have enough info to figure out.