Question

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

Answer 1

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`