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)

Respuesta :

Answer:

D

Step-by-step 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

Hi1315

Answer:

[tex] = (7x - 9y)(7x + 9y) [/tex]

Answer D is correct

Step-by-step explanation:

[tex]49 {x}^{2} - 81 {y}^{2} \\ {7}^{2} {x}^{2} - {9}^{2} {y}^{2} \\ = (7x - 9y)(7x + 9y) [/tex]

hope this helps