Question

Write as an expression and simplify: The square of the difference of x and 8y

Answer 1

Answer:

x² - 16xy + 64y²

Step-by-step explanation:

The difference of x and 8y is x - 8y

The square of the difference is (x - 8y)² = (x - 8y)(x - 8y)

Expand by multiplying each term in the second factor by each term in the first factor, that is

x(x - 8y) - 8y(x - 8y) ← distribute both parenthesis

= x² - 8xy - 8xy + 64y² ← collect like terms

= x² - 16xy + 64y²