[tex]\large{\red{\underline{\underline{\rm{\blue{Answer:-}}}}}}[/tex]
We've been given to find out the value for the given algebraic expression which is,
[tex]:\implies\tt{ \frac{ {x}^{2} - 16 }{x + 4} }[/tex]
The most easiest way to solve this kind of problem is to find factors for (x² - 16) and cancelling them with the factor of (x + 4) in denominator. The factors for (x² - 16) are (x + 4) and (x - 4). For cross check,
[tex]:\implies\tt{(x + 4)(x - 4)}[/tex]
[tex]:\implies\tt{ {x}^{2} - 16}[/tex]
These are correct factors which obeys our expression now as per our question,
[tex]:\implies\tt{ \frac{ {x}^{2} - 16}{x + 4} }[/tex]
[tex]:\implies\tt{ \frac{(x + 4)(x - 4)}{x + 4} }[/tex]
Cancelling (x + 4) from both numerator and denominator we get answer as,
[tex]:\implies\tt{x - 4}[/tex]
- The answer for the expression is (x - 4)
