When (2x-3)^2-3 is subtracted from 5x^2 the result is?

(2x-3)² - 3 is subtracted from 5x²

Solve the terms within the parenthesis and has exponents. Group like terms and simplify.

(2x-3)(2x-3) ⇒ 2x(2x-3) -3(2x-3) ⇒ 4x² - 6x - 6x² + 9 ⇒ -2x² - 6x + 9

Deduct 3 from the answer of the previous solution.
-2x² - 6x + 9 - 3 ⇒ -2x² - 6x + 6

Deduct the answer of the previous solution from 5x²

5x² - 2x² - 6x + 6 ⇒ 3x² - 6x + 6 

3x² - 6x + 6 can be factored by 3.

3(x² - 2x + 2)