Answer:
(x + 6y)(x - 6y)
Step-by-step explanation:
The expression x² - 36y² can be factored.
Since the expression is a difference (subtraction) between two numbers that are square (x² = x*x and 36y² = 6y*6y), the factoring can be done as a "difference of squares".
The rules is generalized as: [tex]x^{2} - y^{2} = (x - y)(x+y)[/tex]
To factor x² - 36y², take each square roots for each of the numbers and add and subtract between them.
x² - 36y²
= (√x² + √36y²)(√x² - √36y²)
= (x + 6y)(x - 6y)
