$\frac{12a^3+34a^2-30}{3a+4}$

$-82a^4b^2+84a^4b^2$

$6x^3+13x^2-4$

$\cos^4\left(x\right)-\sin^4\left(x\right)=\cos2\left(x\right)$

$\lim_{x\to0}\left(\frac{x}{2x-1}\right)^x$

$\lim\:_{x\to\:11\:}\left(\frac{x^3-22x^2+121x}{x^3-121x}\right)$

$( 4 a + 5 ) \cdot ( 4 a - 5 )$