Subtracting (3x + 5)² from 2x² + 5x - 2 involves first expanding the binomial to get 9x² + 30x + 25, and then subtracting this from the original polynomial to get the simplified result of -7x² - 25x - 27.
To determine what results from subtracting (3x + 5)2 from 2x2 + 5x - 2, we first need to expand the square of the binomial.
- (3x + 5)2 becomes 9x2 + 30x + 25.
The next step is to subtract this expansion from the given polynomial.
- Write the subtraction as 2x2 + 5x - 2 - (9x2 + 30x + 25) = 2x2 + 5x - 2 - 9x2 - 30x - 25.
- Combine like terms: -7x2 - 25x - 27.
The simplified polynomial in standard form is -7x2 - 25x - 27.