0. Review of Algebra

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(8x + 7y)(8x − 7y)

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(y³ + 2)(y³ − 2)

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

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(y³ + 3)(y³ − 3)

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

In Exercises 83–94, find each product.(x + y + 3)(x + y − 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 117–130, simplify each algebraic expression. 8(3x-5)-6x

In Exercises 117–130, simplify each algebraic expression. 5(3y-2)-(7y+2)