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dsp73
3 years ago
5

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

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

(x - 4)/(x + 4)

Step-by-step explanation:

\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}

<em>Note :</em>

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