0. Review of Algebra

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

Find each product. See Examples 5 and 6. [(3q+5)-p][(3q+5)+p]

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 33–68, add or subtract as indicated. 3x/(x−3) − (x+4)/(x+2)

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

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