Question

Simplify the expression below.

9
2.
4 X
21
A.
੬੬ ੬ ੬
--Co
B.
C.
3
4 + 7
-9
D.
40
21

Answer 1

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

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) }`