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Question

Алгебра

Niigpap

5 год назад

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ОТВЕТЫ

Парфен

Nov 16, 2020

1)

$\frac{18 - 2a}{3a {}^{2} - 27 }$

2)

$\frac{3a + 12}{a}$

1)

$( \frac{(a + 3)}{a - 3}+\frac{(a - 3)}{a + 3} ) \div\frac{3a {}^{2} + 27 }{9 - a {}^{2} }\\\frac{(a + 3) {}^{2} + (a - 3) {}^{2}}{(a - 3) \times ( a + 3)} \times\frac{9 - a}{3a {}^{2} + 27 }\\\frac{((a + 3) {}^{2} + (a - 3) {) \times (9 - a)}^{2}}{(a - 3) \times (a + 3) \times (3a {}^{2} + 27) }\\\frac{(a {}^{2} + 6a + 9 + a {}^{2} - 6a + 9) \times (9 - a)}{(a {}^{2} - 9) \times 3(a {}^{2} + 9)}\\\frac{(2a {}^{2} + 18) \times (9 - a) }{(a {}^{2} - 9) \times 3(a {}^{2} + 9)}\\\frac{2(a {}^{2} + 9) \times (9 - a) }{(a {}^{2} - 9) \times 3(a {}^{2} + 9)}\\\frac{2(9 - a)}{(a {}^{2} - 9) \times 3 }\\\frac{18 - 2a}{3a {}^{2} - 27 }$

2)

$\frac{3a}{a - 4}-\frac{a + 2}{5a - 20}\times\frac{240}{a {}^{2} + 2a }\\\frac{3a}{a - 4}-\frac{a + 2}{5(a - 4)}\times\frac{240}{a \times (a + 2)}\\\frac{3a}{a - 4}-\frac{1}{a - 4}\times\frac{48}{a}\\\frac{3a}{a - 4}-\frac{48}{a \times (a - 4)}\\\frac{3a {}^{2} - 48 }{a \times (a - 4)}\\\frac{3(a {}^{2} - 16) }{a \times (a - 4)}\\\frac{3(a - 4) \times (a + 4)}{a \times (a - 4)}\\\frac{3(a + 4)}{a}\\\frac{3a + 12}{a}$

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