In Exercises 33–68, add or subtract as indicated. 3x/(x−3) − (x+4)/(x+2)

In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. $\frac{y^{-1} - (y + 2)^{-1}}{2}$

Evaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)³ for x = 4

Rewrite each expression without the absolute value bars. |√2-1|

Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.

State the name of the property illustrated: 3+17 = 17+3

State the name of the property illustrated: (6 • 3) • 9 = 6 • (3 • 9)

State the name of the property illustrated: (3 • 7) + (4 • 7) = (4 • 7) + (3 •7)

Evaluate each exponential expression: (-3)³ (-2)²

Evaluate each exponential expression: 5^-3• 5

Evaluate each exponential expression: (3³)/(3⁶)

Simplify each exponential expression: $(-2x^4{y}^3{)}^3$

Simplify each exponential expression: $(-5x^3{y}^2)(-2x^{-11}{y}^{-2})$

Write each number in scientific notation. 3,590,000

Perform the indicated operation and write the answer in decimal notation.$(3\times {10}^3)(1.3\times {10}^2)$

Use the product rule to simplify the expressions in Exercises 41 - 44. In exercises 43 - 44, assume that variables represent nonnegative real numbers. √300

Use the quotient rule to simplify the expressions in Exercises 45-46. √(121/4)

Add or subtract terms whenever possible. 7√5 + 13√5

In Exercises 47 - 49, add or subtract terms whenever possible. 4√72 - 2√48

Rationalize the denominator. 30/√5

Rationalize the denominator. √2/√3

Simplify the radical expression. ∛81

Simplify the radical expression. 4∛16 + 5∛2

Simplify the radical expressions in Exercises 58 - 62. ∜(32x⁵)/∜(16x) (Assume that x > 0.)

Evaluate each expression 16^1/2.

Simplify using properties of exponents. $\left(5x^{\frac{2}{3}}\right)\left(4x^{\frac{1}{4}}\right)$

Simplify by reducing the index of the radical : $\sqrt[6]{y^3}$

Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $(-6x^3+7x^2-9x+3)+(14x^3+3x^2-11x-7)$

Find each product : $(3x-2)(4x^2+3x-5)$

Find each product : (4x+5)(4x-5)