91Ó°ÊÓ

Simplify each expression.

$\frac{\mathbf{2}\mathbf{x}{\mathbf{y}}^2}{\mathbf{16}\mathbf{x}\mathbf{y}\mathbf{z}}$

Find the quotient.

$\frac{{\mathbf{x}}^{\mathbf{2}}\mathbf{+}\mathbf{7}\mathbf{x}\mathbf{+}\mathbf{12}}{{\mathbf{x}}^{\mathbf{2}}\mathbf{−}\mathbf{25}}\mathbf{÷}\frac{{\mathbf{x}}^{\mathbf{2}}\mathbf{−}\mathbf{9}}{\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{10}}$

Find each sum or difference.
$\frac{1}{x−6}+\frac{3}{x−2}$

In 2005, the U.S. produced 4411300 motor vehicles. This was $\mathbf{10}\mathbf{\%}$of the total motor vehicle production for the whole world. How many motor vehicles were produced worldwide in 2005?

Simplify each expression.

$\frac{\mathbf{x}\mathbf{+}\mathbf{4}}{{\mathbf{x}}^2\mathbf{+}\mathbf{12}\mathbf{x}\mathbf{+}\mathbf{32}}$

Find each sum or difference.

$\frac{5}{x^2−2x−24}+\frac{x}{x−6}$

Simplify

${\left(4−\sqrt{5}\right)}^{\mathbf{2}}$

State the excluded value or values for each function.

$y=\frac{6}{x−1}$

Simplify.

${\left(1+\sqrt{2}\right)}^{\mathbf{2}}$

Simplify each expression.

$\frac{3x^3}{3x^3+6x^2}$