I.- División de expresiones algebraicas

A continuación se proponen ejercicios para practicar la división de expresiones algebraicas, aplicando las reglas y técnicas aprendidas para dividir monomios, polinomios y otras expresiones.

321.

$\large 15x^{2}y^{3}:5$

322.

$\large -80ab^{2}:4$

323.

$\large -a^{5}:a^{3}$

324.

$\large x^{m}:-x^{n}$

325.

$\large 60x^{3}:12x^{2}$

326.

$\large -36a^{5}b^{3}:-9a^{3}b^{3}$

327.

$\large 28a^{m}:-7a^{m-3}$

328.

$\large 30a^{x}b^{y}:15a^{x-2}b^{y-1}$

329.

$\large 15x^{4}y^{3}c:5x^{2}y^{2}c$

330.

$\large 20a^{5}b^{2}c^{3}:4a^{3}b^{2}c$

331.

$\large 16a^{3}b^{2}x^{4}:-4a^{2}b^{2}x^{2}$

332.

$\large -20x^{3}y^{4}z^{2}:-5xy^{2}z$

333.

$\large 8a^{4}b^{3}c^{2}:4a^{2}b^{3}c^{4}$

334.

$\large -25x^{5}y^{3}z:15x^{3}y^{2}v$

335.

$\large \frac{3}{4}am^{2}n^{3}:\frac{2}{5}a^{2}mn$

336.

$\large 6x^{m}y^{n}:3x^{r}y^{s}$

337.

$\large (5a^{2}-4ab):a$

338.

$\large (6x^{3}y+8x^{2}y^{2}):x^{2}$

339.

$\large (15a^{2}b-10ab^{2}):5a$

340.

$\large (20xy^{2}+12x^{2}y^{3}):4xy^{2}$

341.

$\large (a^{m}+ba^{m-1}-b^{2}a^{m-2}):a^{3}$

342.

$\large 12a^{3}b-16a^{2}b^{2}+20ab^{3}:-4ab$

343.

$\large 25x^{4}y^{3}-10x^{5}y^{2}z-5x^{6}y^{4}+30x^{3}y^{3}x^{2}:$ $\large 5x^{2}y$

345.

$\large 8a^{4}b-2a^{3}b^{2}+4a^{2}b^{2}:-4a^{2}b$

346.

$\large \frac{3}{5}x^{4}y-\frac{2}{3}x^{3}y^{2}+6x^{2}y^{3}-\frac{1}{2}xy^{4}:\frac{3}{2}xy$

347.

$\large \frac{5}{8}a^{2}b^{3}-0,6a^{3}b^{4}+\frac{3}{5}a^{4}b^{5}-\frac{1}{3}a^{5}b^{2}:\frac{3}{4}a^{2}b^{2}$

349.

$\large 12a^{2}-29ab+15b^{2}:3a-5b$

350.

$\large -9b^{2}+27b-20:3b-5$

351.

$\large 15a^{3}-25a^{2}b-9ab^{2}+15b^{3}:3a-5b$

352.

$\large -x^{4}y^{2}-2x^{2}y^{4}-y^{6}:x^{2}+y^{2}$

353.

$\large x^{5}-2x^{4}y+x^{3}y^{2}-x^{2}y^{3}+y^{5}:x^{2}+y^{2}$

354.

$\large 6x^{4}-5x^{2}y^{2}-6y^{4}:2x^{2}-3y^{2}$

355.

$\large 4x^{3}+4x^{2}-29x+21:2x-3$

356.

$\large a^{4}-9y^{2}a^{2}-6ayz^{2}-z^{4}:a^{2}-3ya-z^{2}$

357.

$\large 12ax^{5}-9a^{2}x^{4}+5a^{3}x:4ax^{2}-3a^{2}x$

358.

$\large x^{6}-2x^{3}y^{3}+y^{6}:x^{2}-xy+y^{2}$

359.

$\large 125a^{3}-8b^{3}:5a-2b$

360.

$\large 4b^{4}-9a^{2}b^{2}+6a^{3}b-a^{4}:2b^{2}-3ab+a^{2}$

361.

$\large x^{4}-x^{3}y+x^{2}y^{2}-xy^{3}:x^{2}+y^{2}$

362.

$\large x^{5}-2x^{4}y+x^{3}y^{2}-x^{2}y^{3}+y^{5}:$ $\large x^{3}-2x^{2}y+y^{3}$

363.

$\large 2x^{4}-13x^{3}y+31x^{2}y^{2}-38xy^{3}+24y^{4}:$ $\large x^{2}-5xy+6y^{2}$

364.

$\large a^{4}-4a^{3}b+6a^{2}b^{2}-4ab^{3}+4b^{4}:$ $\large a^{3}-3a^{2}b+3ab^{2}-b^{3}$

365.

$\large a^{5}-b^{5}:a-b$

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