Answer:
(10 + 11y)(10 - 11y)
Step-by-step explanation:
100 - 121y²
This is a special factoring called difference of squares. Since both of the numbers in the subtraction expression are perfect squares, we can use this rule:
a² - b² = (√a² - √b²)(√a² + √b²)
Take the square root of each number. Add them in one bracket, subtract them in the other bracket.
(10 + 11y)(10 - 11y)
100 is a perfect square because its square root is a whole number.
√100 = 10
121y² is a perfect square because its square root is a whole number, and its variable is squared.
√121 = 11
√y² = y
