0. Review of Algebra

In Exercises 35–54, use the FOIL method to multiply the binomials.(3xⁿ−yⁿ)(xⁿ+2yⁿ)

Find each product. See Examples 5 and 6. [(9r-s)+2][(9r-s)-2]

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

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

Find each product. See Examples 5 and 6. (z-3)^3

Find each product. See Examples 5 and 6. (q-2)^4

Find each product. See Examples 5 and 6. (r+3)^4

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

In Exercises 55–68, multiply using one of the rules for the square of a binomial.(4xy² − xy)²

Perform the indicated operations. See Examples 2–6. 2(3r^2+4r+2) - 3(-r^2+4r-5)

In Exercises 55–68, multiply using one of the rules for the square of a binomial.(aⁿ + 4bⁿ)²

Perform the indicated operations. See Examples 2–6. m(5m-2) + 9(5-m)

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

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