Question

Aduceţi la acelaşi numitor comun următoarele fracţii algebrice: ​

Answer 1

19.

$a) \: \frac{5x}{x {}^{2} + 2x + 1 } ; \frac{1 - 9x}{4x {}^{2} + 8x + 4} ; \frac{7x {}^{4} }{3x + 3} \\ \\ \frac{5x}{(x + 1) {}^{2} } ; \frac{1 - 9x}{4(x + 1) {}^{2} } ; \frac{7x {}^{4} }{3(x + 1)} \\ \\ n.c. = 12(x + 1) {}^{2} \\ \\ \iff \small \frac{5x\cdot12}{12( x + 1) {}^{2} } ; \frac{(1 + 9x)\cdot3}{12(x + 1) {}^{2} } ; \frac{7x { }^{4} \cdot4}{12(x + 1) {}^{2} } \\ \\ \iff \small \frac{60x}{12(x + 1) {}^{2} } ; \frac{3 + 27x}{12(x + 1) {}^{2} } ; \frac{28x {}^{4} }{12(x + 1) {}^{2} }$