7838 7838
  • 04-08-2022
  • Mathematics
contestada

Subtract: 3x to the power 2 - 6x - 4 from 5 + x - 2xto the power 2.

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 04-08-2022

Answer:

[tex]-8x^2 - 4x + 29 \\[/tex]

Step-by-step explanation:

Second expression evaluates to:

[tex](5 + x -2x)^2 = (5 -x)^2 = (-x+5)^2 = x^2 + 2(-x)(5) +5^2 = x^2 -10x + 25[/tex]  (1)

For (1) We are using the rule [tex](a+b)^2 = a^2 +2ab + b^2\\\\[/tex]

Here [tex]a = -x, b = 5\\\\[/tex]

First expression evaluates to

[tex](3x)^2 -6x - 4 = 9x^2 -6x -4[/tex]    (2)

Subtract (2) from (1)

[tex]x^2 - 10x +25 - (9x^2 -6x -4) = x^2-9x^2 -10x - (-6x) +25 -(-4)\\\\= -8x^2 - 4x + 29 \\[/tex]

 

Answer Link

Otras preguntas

The area of a square floor on a scale drawing is 100 sq cm, and the scale of the drawing is 1cm:2ft. What is the area of the actual floor? What is the ratio o
What does the * mean?
A formal essay is never used in magazines. a. True b. False
Select all that apply. Biogeochemical cycles depend mostly on _____ and _____ for decomposition and the recycling of elements. bacteria fungi protozoa algae pl
Is there a pattern to the volcano distribution around the plant?
What is community service and y is it important?
Kuwait is really good at producing oil and oil related products Lebanon is good at producing diamond and gold which arrangement would be most beneficial for bot
The skeletal system supports the body and gives it shape
what is the value of x in y= -6x+18 and y =3/2x-7
A lithium atom has three protons, three neutrons, and three electrons. What is the overall charge on this atom?