In Exercises 1–10, factor out the greatest common factor. x²(2x+5)+17(2x+5)

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √144+√25

In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (17x³−5x²+4x−3)−(5x³−9x²−8x+11)

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

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). x²-3(x-y), for x=8 and y=2

Evaluate each exponential expression in Exercises 1–22. 4⁻³

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. $\sqrt{(-17{)}^2}$

In Exercises 11–16, factor by grouping. x³−3x²+4x−12

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

In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (5x²−7x−8)+(2x²−3x+7)−(x²−4x−3)

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 5(x+2)/(2x-14), for x=10

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

Evaluate each exponential expression in Exercises 1–22. $2^2\cdot 2^3$

In Exercises 11–16, factor by grouping. x³+6x²−2x−12

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

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (x²−14x+49)/(x²−49)

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. √27

In Exercises 15–58, find each product. (x+1)(x²−x+1)

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). (2x+3y)/(x+1), for x=-2 and y=4

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{125x^2}$

Evaluate each exponential expression in Exercises 1–22. $(3^3{)}^2$

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

In Exercises 15–58, find each product. (2x−3)(x²−3x+5)

The formula C=5/9(F-32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. In Exercises 17–18, use the formula to convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. 50 °F

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

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. $\sqrt{10x}\cdot \sqrt{8x}$

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x²+8x+15

In Exercises 15–32, multiply or divide as indicated. (x²−4)/(x²−4x+4) ⋅ (2x−4)/(x+2)

Evaluate each exponential expression in Exercises 1–22. $3^8/3^4$

A football was kicked vertically upward from a height of 4 feet with an initial speed of 60 feet per second. The formula h=4+60t-16t² describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to solve Exercises 19–20. What was the ball's height 2 seconds after it was kicked?