Veprimet me shprehje algjebrike racionale
(1) Kryeni shumëzimin e thyesave:
\( \frac{a^2 b}{5c} \cdot \frac{25c^2}{4a^2 b^2} \)
\( \frac{(2a + 5c)^2}{2(3a - b)} \cdot \frac{4((2a)^2 - b^2)}{15a^2 - (1c)^2} \)
\( \left(\frac{ab}{6b + 3c}\right)^2 \cdot \frac{4c(2b + c)}{a^2 b^2} \)
(2) Kryeni pjesëtimin e thyesave:
\( \frac{11ab(c + d)}{10d^2} : \frac{35b(c + d)}{4ad} \)
\( \frac{13a + 10b}{bc^2 + c^3} : \frac{77a^2 - 32b^2}{c(b + c)} \)
\( \frac{4a^2 - y^2}{4a} : \frac{1a - y}{a + y} \)
(3) Llogaritni vlerën e shprehjes:
\( \frac{(4x - 2)^2}{x^2 - (6)^2} \cdot \frac{6x - 9}{x^2 + 6x} \cdot \frac{12x - 8}{x^2 + 6x} \) |
za x = 7 |
|
za x = 2 i 9 |
(4) Llogaritni vlerën e shprehjes:
\( \frac{39x^5 y^7}{z^{7} t^{3}} \cdot \frac{y^{2} z^{5}}{18x^2 t^{9}} \cdot \frac{25x^2 y}{zt} \), za \( x = 8 \)
\( \frac{30x^4 t^2}{z^{5} y^{8}} \cdot \frac{20y^3}{18x^2 t^{6}} \cdot \frac{28x^2 y^2}{z^{4} t^2} \), za \( z = 2 \)
(5) Kryeni llogaritjen:
\( \frac{x^2 - 2xy + y^2}{xy + x^2} \cdot \frac{x^2 + 3xy + y^2}{x^2 - 2xy} \)
(6) Paraqisni shprehjen në formë thyesore:
\( \frac{(x + 2)^2}{2x - 3} \) : |
\( (x^2 + 4x + 6) \) |
\( \frac{(2a + 1)^2}{5a - 1} \) |
: \( (6a^2 + 16a + 2) \) |
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