Soluciones: Adición y sustracción de fracciones

A continuación se presentan las soluciones de los ejercicios propuestos para practicar la adición y sustracción de fracciones algebraicas:

561.

$\large \frac{13x}{24}$

562.

$\large \frac{11a}{12}$

563.

$\large \frac{2b+7a}{7}$

564.

$\large \frac{32x+7y}{30}$

565.

$\large \frac{20x-3x+14x-18x}{12}=\frac{13x}{12}$

566.

$\large \frac{a-c}{bc}$

567.

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

568.

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

569.

$\large \frac{2(1+x)+3(1-x)}{1-x^{2}}=\frac{5-x}{1-x^{2}}$

570.

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

571.

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

572.

$\large \frac{cx+ay+bz}{abc}$

573.

$\large \frac{x^{2}yz+y^{2}-z^{2}}{xyz}$

574.

$\large \frac{a^{5}c^{3}+a^{4}b+b^{2}b^{2}}{a^{2}b^{2}c^{4}}$

575.

$\large \frac{10x^{2}y-3x+5y^{2}+15xy}{5x}$

576.

$\large \frac{63ab^{2}d^{2}+50b^{5}cd+88c^{4}}{360b^{4}c^{3}d^{2}}$

577.

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

578.

$\large \frac{3a(a+1)-2a(a-1)-5a}{a^{2}-1}=\frac{a^{2}}{a^{2}-1}$

579.

$\large \frac{4(x+2)^{2}-2(x-2)^{2}-(x^{2}-4)}{4(x^{2}-4)}=$ $\large \frac{x^{2}+24x+12}{4(x^{2}-4)}$

580.

$\large \frac{2(1+x)-3+4(1-x)}{1-x^{2}}=\frac{3-2x}{1-x^{2}}$

581.

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

582.

$\large \frac{20x+4(2x+1)-7(2x-1)}{4x^{2}-1}=$ $\large \frac{14x+11}{4x^{2}-1}$

583.

$\large \frac{6(1-x)-4(1+x)+10x}{1-x^{2}}=\frac{2}{1-x^{2}}$

584.

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

585.

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

Más ejercicios