0. Review of Algebra

Find each product. Assume all variables represent positive real numbers. (p^1/2-p^-1/2)(p^1/2+p^-1/2)

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(3xy² − 4y)(3xy² + 4y)

In Exercises 67–82, find each product. (7xy^2−10y)(7xy^2+10y)

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(5aⁿ − 7)(5aⁿ + 7)

Find each product. (x+7y)(3x-5y)

In Exercises 83–94, find each product.(x + y + 3)(x + y − 3)

Find each product. (7x+4y)(7x-4y)

Find each product. (a-b)(a^+ab+b^2)

In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. (y^−1−(y+2)^−1)/2

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

In Exercises 83–94, find each product.(x + 1)(x − 1)(x² + 1)

Exercises 108–110 will help you prepare for the material covered in the next section.Multiply: (2x³y²)(5x⁴y⁷).

Exercises 108–110 will help you prepare for the material covered in the next section.Simplify and express the polynomial in standard form:3x(x² + 4x + 5) + 7(x² + 4x + 5)

The special products can be used to perform selected multiplications. On the left, we use (x+y)(x-y) = x^2-y^2. On the right, (x-y)^2 = x^2-2xy+y^2. Use special products to evaluate each expression. x = 63 y = 57

In Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and four