Question

The expression x2 - 36y2 is equivalent to​

Answer 1

(x + 6y)(x - 6y)

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:
`x^(2) - y^(2) = (x - y)(x+y)`

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)