Answer:
10v² - 27v - 17vx - 20x²
Explanation:
Given
(5v + 4x)(2v - 5x - 3)
Each term in the second parenthesis is multiplied by each term in the first parenthesis, that is
5v(2v - 5x - 3) + 4x(2v - 5x - 3) ← distribute both parenthesis
= 10v² - 25vx - 15v + 8vx - 20x² - 12x ← collect like terms
= 10v² - 15v - 17vx - 12x - 20x²