Question

The expression 4x^2−25 is equivalent to

A. (2x - 5)(2x - 5)
B. (4x + 5)(x - 5)
C. (4x - 5)(x + 5)
D. (2x + 5)(2x - 5)

Answer 1

Explanation:

a² - b² = (a + b) (a - b)

Here, a = 4x ; b = 5

4x² - 25 = 2²x² - 5²

= (2x)² - 5²

= (2x + 5)(2x - 5)