Question

помогите срочно пж по братске

Answer 1

$1. a) frac{5ab}{15b} = frac{5a}{3}$

$b) frac{6m(2 -n)}{3m ^{2}(n - 2) } = frac{-2(n - 2)}{m(n - 2)} = -frac{2}{m}$

2. $a) frac{12x + 3}{24 x^{2} + 6x} = frac{12x + 3}{2x(12x + 3)} = frac{1}{2x}$
 
$b) frac{y + 5}{y ^{2}+10y + 25 } = frac{y +5}{(y+5) ^{2} } = frac{1}{y+5}$

$B) frac{ a^{2}-4a + 4 }{a ^{2} -4}= frac{(a - 2) ^{2} }{(a - 2)(a + 2)} = frac{a- 2}{a + 2}$

$r) frac{n ^{2}-n + 1 }{n ^{3} -n ^{2}+n } = frac{n ^{2}-n + 1 }{n(n ^{2} -n +1)} = frac{1}{n}$

3. $frac{9 x^{2} -1}{1+6x + 9 x^{2} } = frac{(3x - 1)(3x + 1)}{(1 + 3x) ^{2} } = frac{3x - 1}{1 + 3x}$

При $x = frac{5}{6}$:

$frac{3x - 1}{1 + 3x} = frac{ frac{5}{6}*3 - 1 }{ frac{5}{6}*3 + 1 } = frac{2,5 - 1}{2,5 + 1} = frac{1,5}{3,5} = frac{3}{7}$