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shepuryov [24]
4 years ago
5

Simplify the expression

Mathematics
1 answer:
LuckyWell [14K]4 years ago
3 0

[ Answer ]

\boxed{\bold{\frac{W \ - \ 3}{W \ - \ 7} }}

[ Explanation ]

  • Solve: \boxed{\bold{\frac{w^2-9}{w^2-4w-21}}}

-----------------------------------

  • Factor w^{2} - 9: (w + 3)(w - 3)

\bold{\frac{(w \ + \ 3)(w \ - \ 3)}{w^{2} \ - \ 4w \ - \ 21}}

  • Factor w^{2} - 4w - 21: (w + 3)(w - 7)

\bold{\frac{(w \ + \ 3)(w \ - \ 3)}{(w \ + \ 3)(w \ - \ 7)}}

  • Cancel The Common Factor w + 3

\bold{\frac{w \ - \ 3}{w \ - \ 7}}

\boxed{\bold{[] \ Eclipsed \ []}}

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