Answer: A = 9x³ + 33x² - 50
Explanation:
To find the area of this rectangle, we will use the formula for the area of a rectangle.
Given:
A = LW
Substitute:
A = (3x + 5)(3x² + 6x - 10)
Multiplying polynomials:
A = 3x * (3x² + 6x - 10) + 5 * (3x² + 6x - 10)
Multiply:
A = 9x³ + 18x² - 30x + 15x² + 30x - 50
Combine like terms with addition and subtraction:
A = 9x³ + 33x² - 50