Multiplying Binomials Worksheet

Multiplying Binomials: Grade 12 Algebra

Read each question carefully and follow the instructions. Show all your work for full credit. Simplify your answers completely.

1. The acronym FOIL stands for First,  , Inner, and Last, and is used when multiplying two binomials.

2. When multiplying (x + 3)(x - 5), the 'Inner' terms are  .

3. The product of (a + b)(a - b) is always a   of squares.

4. Which of the following is the correct product of (2x + 1)(x - 3)?

5. What is the expanded form of (4y - 3)²?

6. Multiply the following binomials: (3x + 2)(x - 4).

7. Find the product of (5a - 2b)(2a + 3b).

8. Expand and simplify: (m + 7)(m - 7).

9. The length of a rectangle is represented by (x + 5) units and its width by (x - 2) units. Write an expression for the area of the rectangle in expanded form.

10. The product of (x + 4)(x + 4) is x² + 16.

11. (x - y)² is equal to x² - 2xy + y².

12. Explain in your own words the steps involved in multiplying two binomials using the distributive property. Provide an example to illustrate your explanation.