What expressions are equivalent to y4 - 625?

option D

Step-by-step explanation:

a² - b² = (a + b) (a - b)

625 = 5 * 5 * 5 * 5 = 5⁴

y⁴ - 625 = y⁴  - 5⁴

             = (y²)² - (5²)²           {a = y² ; b = 5²}

            = (y² + 5²)(y² - 5²)

           = (y² + 25)(y² - 5²)

           = (y² + 25)(y + 5)(y - 5)

answer: the equation matches the regression

step-by-step explanation: