Answered

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Rational algebraic expression
x²-16/x²+8x+16

Sagot :

Anonimity

(x - 4)/(x + 4)

Step-by-step explanation:

[tex]\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}[/tex]

Note :

  • a² - b² = (a + b)(a - b)
  • (a + b)² = a² + 2ab + b²
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