Soluciones: Simplificar fracciones

Soluciones de los ejercicios propuestos para simplificar fracciones algebraicas.

500.

$\large 4ab$

501.

$\large -2ac$

502.

$\large -3ad^{2}$

503.

$\large \frac{3a}{7x}$

504.

$\large \frac{2ax^{2}}{3by^{2}z}$

505.

$\large \frac{-10c^{3}}{b}$

506.

$\large \frac{c^{2}}{2ab}$

507.

$\large \frac{1}{6ab}$

508.

$\large \frac{-6x}{13ac}$

509.

$\large \frac{2r}{3m}$

510.

$\large \frac{b(1+b)}{a(1+b)}=\frac{b}{a}$

511.

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

512.

$\large \frac{x(x-1)}{x(y-1)}=\frac{x-1}{y-1}$

513.

$\large x^{2}+x+1$

514.

$\large \frac{xy(x-1)}{(x+1)(x-1)}$

515.

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

516.

$\large \frac{(x+3y)(x-3y)}{a(x+3y)}=\frac{x-3y}{a}$

517.

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

518.

$\large \frac{6xy(2x-3y)}{5ax^{2}y^{2}(2x-3y)}=\frac{6}{5axy}$

519.

$\large \frac{5x^{2}y^{3}(xy-2)}{7x^{3}y(xy-2)}=\frac{5y^{2}}{7x}$

520.

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

521.

$\large \frac{5z(7x-9y)}{7x-9y}=5z$

522.

$\large \frac{ax+by}{x(ax+by)}=\frac{1}{x}$

523.

$\large \frac{2a(a+2b)}{3b(a+2b)}=\frac{2a}{3b}$

524.

$\large \frac{4x^{2}(4xy-5z)}{7xy^{2}(4xy-5z)}=\frac{4x}{7y^{2}z^{2}}$

525.

$\large \frac{(a-b)(a-b)}{(a+b)(a-b)}=\frac{a-b}{a+b}$

526.

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

527.

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

528.

$\large \frac{3a(2a^{2}-7a+5)}{2a^{2}-7a+5}=3a$

529.

$\large \frac{3(a^{2}-2a+1)}{6x(a-1)}=\frac{a-1}{2x}$

530.

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

531.

$\large \frac{5a(2^{2}-2ab+b^{2})}{8a^{2}(a-b)}=\frac{5(a-b)}{8a}$

532.

$\large \frac{7a-7b-7c}{3(7a-7b-7c)}=\frac{1}{3}$

533.

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

534.

$\large \frac{(x+2)(x+2)}{(x+2)(x-2)}=\frac{x+2}{x-2}$

535.

$\large \frac{(a^{2}+x^{2})(a^{2}-x^{2})}{ax(a^{2}-x^{2})}=\frac{a^{2}+x^{2}}{ax}$

536.

$\large \frac{(x+y)^{2}}{3(x+y)}=\frac{x+y}{3}$

537.

$\large \frac{x(y-3)-5(y-3)}{xy-3x}=\frac{x-5}{x}$

538.

$\large \frac{(x-2)(y+1)}{(y+1)(x-5)}=\frac{x-2}{x-5}$

539.

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

540.

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

541.

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

542.

$\large \frac{4ab}{8abx}=\frac{1}{2x}$

543.

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

544.

$\large \frac{4xy}{xy(x-y)}=\frac{4}{x-y}$

545.

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

546.

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

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