In the expansion of (2a-5b)² the coefficient of ab is

A. 20
B. 10
C. -20
D. -10

1 answer

B. 10

To expand (2a-5b)², we use the formula (a - b)² = a² - 2ab + b².

In this case, a = 2a and b = 5b. Plugging into the formula:

(2a-5b)² = (2a)² - 2(2a)(5b) + (5b)²
= 4a² - 20ab + 25b²

Therefore, the coefficient of ab is -20.