Write the equation y = (x-4) (x+2) in standard form

y = x² - 2x - 8

Step-by-step explanation:

Given

y = (x - 4) (x + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x (x + 2) - 4 (x + 2) ← distribute parenthesis

= x² + 2x - 4x - 8 ← collect like terms

= x² - 2x - 8 ← in standard form