Simplify by reducing the index of the radical. $\sqrt[9]{x^6{y}^3}$

Simplify by reducing the index of the radical. $\sqrt[12]{x^4{y}^8}$

Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. (2x+3)/x

Find each product. (x+7)(x+3)

Find each product. (x−1)(x+2)

Find each product. (2x−5)(7x+2)

Find each product. (x+5)(x−5)

Find each product. (5−7x)(5+7x)

Perform the indicated operation or operations. (3x+5)(2x−9)−(7x−2)(x−1)

Factor out the greatest common factor. $18x+27$

Factor out the greatest common factor. $9x^4-18x^3+27x^2$

Factor each trinomial, or state that the trinomial is prime. $6x^2-7xy-5y^2$

Factor the difference of two squares. $64x^2-81$

Factor each perfect square trinomial. $x^2+2x+1$

Factor each perfect square trinomial. $64x^2-16x+1$

Factor using the formula for the sum or difference of two cubes. $x^3+64$

Factor using the formula for the sum or difference of two cubes. $x^3-27$

Factor completely, or state that the polynomial is prime. $5x^3-45x$

Factor and simplify each algebraic expression. $-8(4x + 3)^{-2} + 10(5x + 1)(4x + 3)^{-1}$

Find all numbers that must be excluded from the domain of each rational expression. 7/(x−3)

Simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $\frac{y^2 + 7y - 18}{y^2 - 3y + 2}$

Multiply or divide as indicated. $\frac{6x + 9}{3x - 15} \cdot \frac{x - 5}{4x + 6}$

Multiply or divide as indicated. $\frac{x^3 - 8}{x^2 - 4} \cdot \frac{x + 2}{3x}$

Multiply or divide as indicated. $\frac{x + 5}{7} \div \frac{4x + 20}{9}$

Add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)

Add or subtract as indicated. (4x−10)/(x−2) − (x−4)/(x−2)

In Exercises 33–68, add or subtract as indicated. 5/x + 3

Add or subtract as indicated. 2/5x − (x+1)/4x

In Exercises 33–68, add or subtract as indicated. $\frac{x + 9}{10x^3} + \frac{11}{15x^2}$

In Exercises 33–68, add or subtract as indicated. 3/(x+1) − 3/x