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torisob [31]
3 years ago
6

Simplify the expression below.

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

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

Step-by-step explanation:

\frac{ {w}^{2} - 9 }{ {w}^{2} - 4w - 21 }  \\  \\  =  \frac{ {w}^{2} -  {3}^{2}  }{ {w}^{2} - 7w  + 3w- 21 }   \\  \\ =  \frac{( {w}  +  {3}) ( {w} -  {3}) }{w( {w} - 7)  + 3(w- 7) }   \\  \\ =  \frac{( {w}  +  {3}) ( {w} -  {3}) }{( {w} - 7)  (w + 3) }   \\  \\ =  \frac{( {w} -  {3}) }{( {w} - 7) }

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