0. Review of Algebra

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

In Exercises 15–58, find each product. (7x³+5)(x²−2)

In Exercises 15–58, find each product. (7x²−2)(3x²−5)

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

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

In Exercises 67–82, find each product. (7xy²−10y)(7xy²+10y)

In Exercises 83–90, perform the indicated operation or operations. (2x−7)⁵/(2x−7)³

In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x−1)/(x²+11x+10)

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)

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

In Exercises 15–32, multiply or divide as indicated. (x²+x)/(x²−4) ÷ (x²−1)/(x²+5x+6)

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

In Exercises 33–68, add or subtract as indicated. 3x/8 + x/12

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

In Exercises 33–68, add or subtract as indicated. 4/(x²+6x+9) + 4/(x+3)