0. Review of Algebra

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers.(5x²y + 9xy + 12) + (−3x²y + 6xy + 3)

In Exercises 35–54, use the FOIL method to multiply the binomials.(x+5)(x+8)

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers.(9x⁴y² − 6x²y² + 3xy) + (−18x⁴y² − 5x²y − xy)

In Exercises 35–54, use the FOIL method to multiply the binomials.(y+5)(y−6)

In Exercises 35–54, use the FOIL method to multiply the binomials.(5x+3)(2x+1)

In Exercises 35–54, use the FOIL method to multiply the binomials.(2x−3)(4x−5)

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

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

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

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