[latex] frac{x^{2} }{16-9 x^{2} } - frac{2}{4+3x} =frac{x^{2} }{(4-3x)(4+3x) } - frac{2}{4+3x} =frac{x^{2} }{(4-3x)(4+3x) } - frac{2*(4-3x)}{(4+3x)*(4-3x)} = \ frac{x^{2} }{(4-3x)(4+3x) } - frac{8-6x}{(4+3x)*(4-3x)} = frac{ x^{2} -8+6x}{(4-3x)(4+3x)} [/latex] [latex] frac{x+3}{25 x^{2} -16} - frac{1}{5x+4} = frac{x+3}{(5x-4)(5x+4)} - frac{1}{5x+4} =frac{x+3}{(5x-4)(5x+4)} - frac{1*(5x-4)}{(5x+4)*(5x-4)}= \ frac{x+3-(5x-4)}{(5x-4)(5x+4)} =frac{x+3-5x+4}{(5x-4)(5x+4)} =frac{-4x+7}{(5x-4)(5x+4)} [/latex]
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