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Algebraic expressions for simplification or expansion practice.

A list of ten algebraic expressions involving binomials and variables x and y.

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Show Answer Key & Explanations Step-by-step solution for: Multiplication of Polynomials | CK-12 Foundation

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1. $(x + 2)(x - 3) = x^2 - 3x + 2x - 6 = x^2 - x - 6$

2. $(2y - 1)(y - 2) = 2y^2 - 4y - y + 2 = 2y^2 - 5y + 2$

3. $(x - 1)(x - 1) = x^2 - x - x + 1 = x^2 - 2x + 1$

4. $(x - 2)(x + 2) = x^2 + 2x - 2x - 4 = x^2 - 4$

5. $(2x - 5)(x - 1) = 2x^2 - 2x - 5x + 5 = 2x^2 - 7x + 5$

6. $(3 - y)(2 - y) = 6 - 3y - 2y + y^2 = y^2 - 5y + 6$

7. $(x - 2)(x - 3) = x^2 - 3x - 2x + 6 = x^2 - 5x + 6$

8. $(2x - 3)(3x - 1) = 6x^2 - 2x - 9x + 3 = 6x^2 - 11x + 3$

9. $(y - 2x)(y - x) = y^2 - xy - 2xy + 2x^2 = y^2 - 3xy + 2x^2$

10. $(x - 1)(4 - x) = 4x - x^2 - 4 + x = -x^2 + 5x - 4$

Parent Tip: Review the logic above to help your child master the concept of multiplying a binomial by a trinomial worksheet.

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