I.- Simplificar fracciones algebraicas

A continuación se proponen ejercicios para practicar la simplificación de fracciones algebraicas, aplicando las reglas para reducir términos y factores comunes.

500.

$\large \frac{12a^{4}b^{2c}}{3a^{3}bc}$

501.

$\large \frac{10a^{2}bc}{-5ab}$

502.

$\large \frac{-15a^{2}bc^{2}d^{3}}{5abc^{2}d}$

503.

$\large \frac{-12a^{2}x}{-28ax^{2}}$

504.

$\large \frac{10ab^{2}x^{4}y}{15b^{3}x^{2}y^{3}z}$

505.

$\large \frac{-20abc^{3}}{2ab^{2}}$

506.

$\large \frac{-18a^{3}bc^{2}x}{-36a^{4}b^{2}x}$

507.

$\large \frac{3a^{2}b}{18a^{3}b^{2}}$

508.

$\large \frac{-12acx^{2}}{26a^{2}c^{2}x}$

509.

$\large \frac{38m^{3}n^{4}r^{2}}{57m^{4}n^{4}r}$

510.

$\large \frac{b+b^{2}}{a+ab}$

511.

$\large \frac{a^{2}-b^{2}}{a^{2}-2ab+b^{2}}$

512.

$\large \frac{x^{2}x}{xy-x}$

513.

$\large \frac{x^{3}-1}{x-1}$

514.

$\large \frac{x^{2}y-xy}{x^{2}-1}$

515.

$\large \frac{4a^{2}b^{3}-8a^{3}b^{3}}{12a^{2}b^{4}+4a^{4}b^{4}}$

516.

$\large \frac{x^{2}-9y^{2}}{ax+3ay}$

517.

$\large \frac{x^{3}-x}{(x-1)(x+1)^{2}}$

518.

$\large \frac{12x^{2}y-18xy^{2}}{10ax^{3}y^{2}-15ax^{2}y^{3}}$

519.

$\large \frac{5x^{3}y^{4}-10x^{2}y^{}}{7x^{4}y^{2}-14x^{3}y}$

520.

$\large \frac{ax^{2}-a^{3}}{bx^{2}-a^{2}b}$

521.

$\large \frac{35xz-45yz}{7x-9y}$

522.

$\large \frac{ax+by}{ax^{2}+bxy}$

523.

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

524.

$\large \frac{16x^{3}y-20x^{2}z}{28x^{2}y^{3}z^{2}-35xy^{2}z^{3}}$

525.

$\large \frac{(a-b)^{2}}{a^{2}-b^{2}}$

526.

$\large \frac{a^{3}+b^{3}}{a^{2}-b^{2}}$

527.

$\large \frac{x^{2}+4x+4}{x^{2}-4}$

528.

$\large \frac{6a^{3}-21a^{2}+15a}{2a^{2}-7a+5}$

529.

$\large \frac{3a^{2}-6a+3}{6ax-6x}$

530.

$\large \frac{a^{2}x-2ax-x}{2a^{3}-6a^{2}+6a-2}$

531.

$\large \frac{5a^{3}-10a^{2}b+5ab^{2}}{8a^{3}-8a^{2}b}$

532.

$\large \frac{7a-7b-7c}{21a-21b-21c}$

533.

$\large \frac{9a^{5}-4a}{6a^{2}b^{2}-4ab^{2}}$

534.

$\large \frac{x^{2}+4x+4}{x^{2}-4}$

535.

$\large \frac{a^{4}-x^{4}}{a^{3}x-ax^{3}}$

536.

$\large \frac{(x-y)^{2}+4xy}{3x+3y}$

537.

$\large \frac{xy-3x-5y+15}{xy-3x}$

538.

$\large \frac{xy-2y+x-2}{xy+x-5y-5}$

539.

$\large \frac{a^{2}-2ab+b^{2}}{a^{2}-a(b+c)+bc}$

540.

$\large \frac{a^{2}+b^{2}-c^{2}+2ab}{a^{2}+c^{2}-b^{2}+2ac}$

541.

$\large \frac{a^{2}-b^{2}-ac-bc}{a^{2}-b^{2}}$

542.

$\large \frac{(a+b)^{2}-(a-b)^{2}}{8abx}$

543.

$\large \frac{(x^{2}-4)(x^{2}-2x+1)}{x(x^{2}-1)-2(x^{2}-1)}$

544.

$\large \frac{(x+y)^{2}-(x-y)^{2}}{x^{2}y-xy^{2}}$

545.

$\large \frac{(a-1)(a+1)^{2}}{a^{3}-a}$

546.

$\large \frac{(a+b)^{2}-4ab}{2a-2b}$

547.

$\large \frac{(a+b)^{2}-4ab}{2a-2b}$

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