Question

Hello plz help
(pls like fr show me how you got your answer and tyy!​

Answer 1

X2-16/x+4 , expand X2-16 to (x+4)(x-4)
=(x-4)(x+4) / x+4 , x+4 cancel each other out
=x-4

I think this is how u do it

Answer 2

`\large{\red{\underline{\underline{\rm{\blue{Answer:-}}}}}}`

We've been given to find out the value for the given algebraic expression which is,

`:\implies\tt{ \frac{ {x}^(2) - 16 }{x + 4} }`

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,

`:\implies\tt{(x + 4)(x - 4)}`

`:\implies\tt{ {x}^(2) - 16}`

These are correct factors which obeys our expression now as per our question,

`:\implies\tt{ \frac{ {x}^(2) - 16}{x + 4} }`

`:\implies\tt{ ((x + 4)(x - 4))/(x + 4) }`

Cancelling (x + 4) from both numerator and denominator we get answer as,

`:\implies\tt{x - 4}`

• The answer for the expression is (x - 4)