0. Review of Algebra

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

Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (-6x^3+7x^2-9x+3)+(14x^3+3x^2-11x-7)

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(4x + 7y)(4x − 7y)

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 67–82, find each product. (9x+7y)^2

Find each product : (3x-2)(4x^2+3x-5)

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)

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

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)