Упростите:1) [tex]\frac{m-n}{m+n} - \frac{m+n}{m-n}[/tex]2)[tex]\frac{1}{x-3} - \frac{1}{x-1}[/tex]3)[tex]\frac{2a+3b}{2a-3b} + \frac{2a-b}{2a+3b}[/tex]
решение с объяснением во вложении
1) (m-n)^2 - (m+n)^2 (m-n-m-n)(m-n+m+n) -2n*2m 4mn
----------------------- = -------------------------- = ------------- = ------------
(m+n)(m-n) m^2 - n^2 m^2 - n^2 n^2 - m^2
2) x-1-x+3 2 2
----------- = ------------------- = ---------------
(x-3)(x-1) x^2 - x - 3x + 3 x^2 - 4x + 3
3) (2a+3b)^2 + (2a-3b)(2a-b) 4a^2+12ab+9b^2+4a^2-2ab-6ab+3b^2
--------------------------------- = ---------------------------------------------- =
(2a+3b)(2a-3b) 4a^2-9b^2
8a^2+4ab+12b^2
= -----------------------
4a^2-9b^2
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Verified answer
решение с объяснением во вложении
Verified answer
1) (m-n)^2 - (m+n)^2 (m-n-m-n)(m-n+m+n) -2n*2m 4mn
----------------------- = -------------------------- = ------------- = ------------
(m+n)(m-n) m^2 - n^2 m^2 - n^2 n^2 - m^2
2) x-1-x+3 2 2
----------- = ------------------- = ---------------
(x-3)(x-1) x^2 - x - 3x + 3 x^2 - 4x + 3
3) (2a+3b)^2 + (2a-3b)(2a-b) 4a^2+12ab+9b^2+4a^2-2ab-6ab+3b^2
--------------------------------- = ---------------------------------------------- =
(2a+3b)(2a-3b) 4a^2-9b^2
8a^2+4ab+12b^2
= -----------------------
4a^2-9b^2