0. Review of Algebra

In Exercises 15–58, find each product. (2x−3)^3

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

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (7x^4 y^2−5x^2 y^2+3xy)+(−18x^4 y^2−6x^2 y^2−xy)

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

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

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)