0. Review of Algebra

In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers.(x³ + 7xy − 5y²) − (6x³ − xy + 4y²)

Find each product. See Examples 5 and 6. (4m+2n)^2

In Exercises 35–54, use the FOIL method to multiply the binomials.(7xy+1)(2xy−3)

In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers.(3x⁴y² + 5x³y − 3y) − (2x⁴y² − 3x³y − 4y + 6x)

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

In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers.(7y²ⁿ + yⁿ − 4) − (6y²ⁿ − yⁿ − 1)

In Exercises 33–68, add or subtract as indicated. (x+9)/10x^3 + 11/15x^2

Subtract −5a²b⁴ − 8ab² − ab from 3a²b⁴ − 5ab² + 7ab.

Find each product. See Examples 5 and 6. [(2p-3)+q]^2

In Exercises 35–54, use the FOIL method to multiply the binomials.(7x³+5)(x²−2)

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