0. Review of Algebra

In Exercises 67–82, find each product. (7x² y+1)(2x² y−3)

In Exercises 15–32, multiply or divide as indicated. (x³−25x)/4x² ⋅ (2x²−2)/(x²−6x+5) ÷ (x²+5x)/(7x+7)

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

In Exercises 15–58, find each product. (1−y⁵)(1+y⁵)

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

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 15–58, find each product. (x−1)³

In Exercises 15–32, multiply or divide as indicated. (x²−4)/(x²+3x−10) ÷ (x²+5x+6)/(x²+8x+15)

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

In Exercises 15–58, find each product. (4x²−1)²

In Exercises 69–82, simplify each complex rational expression. (x/3−1)/(x−3)

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

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)