Writing as a simplified polynomial in standard form, what is the result when (2x+5)^2 is subtracted from 6x^2?
To find the result when (2x+5)^2 is subtracted from 6x^2, we need to expand (2x+5)^2 and then subtract it from 6x^2.
Expanding (2x+5)^2, we get:
(2x+5)^2 = (2x+5)(2x+5) = 4x^2 + 10x + 10x + 25
= 4x^2 + 20x + 25
Now we subtract (4x^2 + 20x + 25) from 6x^2:
6x^2 - (4x^2 + 20x + 25) = 6x^2 - 4x^2 - 20x - 25
= 2x^2 - 20x - 25
Therefore, the result when (2x+5)^2 is subtracted from 6x^2 is 2x^2 - 20x - 25.