If a=12, b=9, and c=4, what is (b^2-2c^2)/(a+c-b)?

1 Answer
Mar 30, 2018

See a solution process below:

Explanation:

Substitute:

  • color(red)(12) for each occurrence of color(red)(a)
  • color(blue)(9) for each occurrence of color(blue)(b)
  • color(green)(4) for each occurrence of color(green)(c)

and then calculate the result:

(color(blue)(b)^2 - 2color(green)(c)^2)/(color(red)(a) + color(green)(c) - color(blue)(b)) becomes:

(color(blue)(9)^2 - (2 * color(green)(4)^2))/(color(red)(12) + color(green)(4) - color(blue)(9)) =>

(81 - (2 * 16))/(16 - color(blue)(9)) =>

(81 - 32)/7 =>

49/7 =>

7