Question

Which of the following represents the factorization of the binomial below?

49x2 - 81y2
A. (x-9y)7x-9y)
B. (7x+9yX(7x+9y)
C. (7x+y)(x-97)
D. (7x+9y)(7x-9y)

Answer 1

D

Explanation:

49x² - 81y² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b) , thus

49x² - 81y²

= (7x)² - (9y)²

= (7x + 9y)(7x - 9y) → D

Answer 2

`= (7x - 9y)(7x + 9y)`

Answer D is correct

Explanation:

`49 {x}^(2) - 81 {y}^(2) \\ {7}^(2) {x}^(2) - {9}^(2) {y}^(2) \\ = (7x - 9y)(7x + 9y)`

hope this helps