0. Review of Algebra

In Exercises 55–68, multiply using one of the rules for the square of a binomial.(2x + y)²

In Exercises 55–68, multiply using one of the rules for the square of a binomial.(5x − 3y)²

Perform the indicated operations. See Examples 2–6. (7m+2n)^2

Perform the indicated operations. See Examples 2–6. (3p+5)^2

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (3x^4 y^2+5x^3 y−3y)−(2x^4 y^2−3x^3 y−4y+6x)

In Exercises 33–68, add or subtract as indicated. (4x^2+x−6)/(x^2+3x+2)−3x/(x+1)+5/(x+2)

In Exercises 67–82, find each product. (3x−y)(2x+5y)

Perform the indicated operations. See Examples 2–6. -z^3(9-z) + 4z(2+3z)

Find each product. Assume all variables represent positive real numbers. y^5/8(y^3/8-10y^11/8)

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(5x + 3)(5x − 3)

Find each product. Assume all variables represent positive real numbers. -4k(k^7/3-6k^1/3)

In Exercises 67–82, find each product. (9x+7y)^2

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

Find each product : (4x+5)(4x-5)

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(2 − y⁵)(2 + y⁵)