[tex]a) \frac{24}{8x - 16} = \frac{24}{8(x - )} = \frac{3}{x - 2} [/tex]
[tex]b) \frac{2x ^{2} - 6x }{4x - 12} = \frac{2x(x - 3)}{4(x - 3)} = \frac{x}{2} [/tex]
[tex]c) \frac{y^{2} - 10y + 25 }{y ^{2} - 25 } = \frac{(y - 5) ^{2} }{(y - 5)(y + 5)} = \frac{y - 5}{y + 5} [/tex]
[tex]d) \frac{a ^{2} - 4 }{a ^{2} - 4a + 4 } = \frac{(a - 2)(a + 2)}{(a - 2)^{2} } = \frac{a + 2}{a - 2} [/tex]
[tex]e) \frac{(2b - 3) ^{2} - b^{2} }{3b ^{2} - 9b } = \frac{(2b - 3 - b)(2b - 3 + b}{3b(b - 3)} = \frac{(b - 3)(3b - 3)}{3b(b - 3)} = \frac{3(b - 1)}{3b} = \frac{b - 1}{b} [/tex]
