Question

Упростите выражениеееееееееееееееее

Answer 1

▪а)

$frac{2}{3 {x}^{2} {y}^{3} } - frac{3}{5 {x}^{3} {y}^{2} } = frac{2 times 5x - 3 times 3y}{15 {x}^{3} {y}^{3} } = frac{10x - 9y}{15 {x}^{3} {y}^{3} }$

▪б)

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

▪в)

$- frac{3}{c - d} + frac{4c - 4d}{ {c}^{2} - 2cd + {d}^{2} } = - frac{3(c - d) + 4(c - d)}{ {(c - d)}^{2} } = - frac{(c - d)(3 + 4)}{ {(c - d)}^{2} } = - frac{7}{c - d}$

▪г)

$frac{5}{4a + 8} - frac{1}{3a + 6} = frac{5}{4(a + 2)} - frac{1}{3(a + 2)} = frac{15 - 4}{12(a + 2)} = frac{11}{12(a + 2)} = frac{11}{12a + 24}$

▪д)

$frac{1}{ab - {b}^{2} } - frac{1}{ {a}^{2} - ab} = frac{1}{b(a - b)} - frac{1}{a(a - b)} = frac{a - b}{ab(a - b)} = frac{1}{ab}$