Сократите дроби [latex] \frac{25 x^{2} -9}{50 x^{2} -60 x+18} [/latex] ;[latex] \frac{ x^{2} + x-6}{3 x+ x^{2} } [/latex]

Question

Сократите дроби [latex] \frac{25 x^{2} -9}{50 x^{2} -60 x+18} [/latex] ;[latex] \frac{ x^{2} + x-6}{3 x+ x^{2} } [/latex]

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Ответ(ы) на вопрос:

Accepted Answer

[latex] \frac{25x^2-9}{50x^2-60x+18} = \frac{(5x-3)(5x+3)}{2(25x^2-30x+9)} = \frac{(5x-3)(5x+3)}{2\cdot (5x-3)^2} = \frac{5x+3}{2(5x-3)} \\\\\\ \frac{x^2+x-6}{3x+x^2} = \frac{(x+3)(x-2)}{x(x+3)} = \frac{(x-2)}{x} [/latex]