Multiplying Binomials Worksheet
Practice multiplying binomials using various methods, including FOIL and the distributive property.
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Multiplying Binomials: Grade 12 Algebra
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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)?
2x² - 5x - 3
2x² - 7x - 3
2x² + 5x - 3
2x² + 7x - 3
5. What is the expanded form of (4y - 3)²?
16y² - 9
16y² + 9
16y² - 12y + 9
16y² - 24y + 9
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.
True
False
11. (x - y)² is equal to x² - 2xy + y².
True
False
12. Explain in your own words the steps involved in multiplying two binomials using the distributive property. Provide an example to illustrate your explanation.