B

2010006612

Část: 
B
Zjednodušte výraz, pokud \( x \in \mathbb{R}\setminus \{\pm 2\}\): \[ \left[\frac{2}{x+2} -\frac{2}{(x+2)^2}+\frac{2}{x^2-4}\right]\cdot \frac{x^2+ 4x+4}{3}\]
\( \frac{2x^2}{3(x-2)} \)
\( \frac{2x^2}{3(x+2)} \)
\( \frac{x^2}{3(x+2)} \)
\( \frac{x^2}{3(x-2)} \)

2010006611

Část: 
B
Zjednodušte výraz, pokud \( x \in \mathbb{R}\setminus \{\pm 3\}\): \[\left[\frac{3}{(x-3)^2} +\frac{1}{x+3}+\frac{6}{x^2-9}\right]\cdot \frac{x^2-6x+9}{2}\]
\( \frac{x}2 \)
\( \frac{x^2}2 \)
\( \frac{x(x-3)}{2(x+3)} \)
\( \frac{x(x+3)}{2(x-3)} \)

2010006610

Část: 
B
Zjednodušte výraz, pokud \( a \in \mathbb{R}\setminus \{-4; 0; 4\}\): \[ \frac{3}{2a^2-8a} +2- \frac{1+2a^2}{a^2-16}\]
\( \frac{3(4-21a)}{2a(a^2-16)} \)
\( \frac{3(21a-4)}{2a(a^2-16)} \)
\( \frac{3(21a-4)}{a(a^2-16)} \)
\( \frac{3(4-21a)}{a(a^2-16)} \)

2010006609

Část: 
B
Zjednodušte výraz, pokud \( x \in \mathbb{R}\setminus \{-3; 0; 3\}\): \[ \frac{5}{2x^2+6x} - \frac{4-3x^2}{x^2-9}-3\]
\( \frac{3(17x-5)}{2x(x^2-9)} \)
\( \frac{-3(19x-5)}{2x(x^2-9)} \)
\( \frac{3(5-19x)}{2x(x^2-9)} \)
\( \frac{3(5-17x)}{2x(x^2-9)} \)

2010006606

Část: 
B
Zjednodušte daný výraz pro \(a\neq 0\), \(b\neq 0\), \(c\neq 0\): \[ \frac{5a-c}{6ac} - \frac{2a-3b}{12ab}-\frac{3}{4a}-\frac{2c-3b}{3bc}\]
\( \frac{11ab-5ac-4bc}{6abc} \)
\( \frac{11ab-5ac-5bc}{6abc} \)
\( \frac{-ab-5ac-7bc}{6abc} \)
\( 0\)

2010006605

Část: 
B
Zjednodušte výraz, pokud \(a\neq 0\), \(b\neq 0\), \(c\neq 0\): \[ \frac{2a-c}{4c} - \frac{3a^2-2ab}{6ac}-\frac{2a}{3c}-\frac{5a-b}{2b}\]
\( \frac{4b^2-8ab-30ac+3bc}{12bc} \)
\( \frac{-4b^2-8ab-30ac+3bc}{12bc} \)
\( \frac{4b^2-8ab-30ac-9bc}{12bc} \)
\( 0\)