Respuesta :

Answer:

x - 7

Step-by-step explanation:

Given

[tex]\frac{x^2-49}{x+7}[/tex]

x² - 49 is a difference of squares and factors as (x - 7)(x + 7)

= [tex]\frac{(x-7)(x+7)}{x+7}[/tex] ← cancel x + 7 on the numerator/ denominator

= x - 7

Answer:

Formula used: a²-b²=(a-b)(a+b)

[tex] ★\:\:\frac{( {x}^{2} - 49) }{(x + 7)} = \frac{ ({x}^{2} - {7}^{2} ) }{(x + 7)} = \frac{(x - 7)(x + 7)}{(x + 7)} =\boxed{ (x - 7)}[/tex]

(x-7) is the right answer.