Сократить дробь.Задание во вложении.
1) x² + xy x(x + y) x
---------- = ------------------- = -------;
x² - y² (x - y)(x + y) x - y
2) m² - 4 (m - 2)(m + 2) m + 2
---------- = -------------------- = ---------;
m² -2m m(m - 2) m
3) a² + 3a a(a + 3) a
----------- = ------------------ = -------;
9 - a² (3 - a)(3 + a) 3 - a
4) 4 - a² (2 - a)(2 + a) 2 - a
a² + 2a a(a + 2) a
5) ax² - ax ax(x - 1)
------------ = ------------- = x -1;
ax ax
6) ab ab 1
- ----------- = ------------- = -------;
ab - ab² ab(b - 1) b - 1
7) 3m² - 6m 3m(m - 2) 3m
-------------- = ------------------- = ----------;
m² - 4 (m - 2)(m+ 2) m + 2
8) 4 - n² (2 - n)(2+ n) 2 + n
----------- =------------------ = ---------.
8n - 4n² 4n(2 - n) 4n
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Answers & Comments
1) x² + xy x(x + y) x
---------- = ------------------- = -------;
x² - y² (x - y)(x + y) x - y
2) m² - 4 (m - 2)(m + 2) m + 2
---------- = -------------------- = ---------;
m² -2m m(m - 2) m
3) a² + 3a a(a + 3) a
----------- = ------------------ = -------;
9 - a² (3 - a)(3 + a) 3 - a
4) 4 - a² (2 - a)(2 + a) 2 - a
---------- = -------------------- = ---------;
a² + 2a a(a + 2) a
5) ax² - ax ax(x - 1)
------------ = ------------- = x -1;
ax ax
6) ab ab 1
- ----------- = ------------- = -------;
ab - ab² ab(b - 1) b - 1
7) 3m² - 6m 3m(m - 2) 3m
-------------- = ------------------- = ----------;
m² - 4 (m - 2)(m+ 2) m + 2
8) 4 - n² (2 - n)(2+ n) 2 + n
----------- =------------------ = ---------.
8n - 4n² 4n(2 - n) 4n