FOIL Method Worksheet

Simplify each expression using the FOIL Method.

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Example:

Equation: (x + y)(x + y)
Answer: x^2 + 2xy + y^2

Quiz:

1. Equation: (1 + x)(3 + 2x)
Answer: 3 + 5x + 2x^2
2. Equation: (2 + 5x)(11 + 12x)
Answer: 22 + 79x + 60x^2
3. Equation: (x - 3)(10x + -20)
Answer: 10x^2 - 50x + 60
4. Equation: (x^2 - 4)(x^2 - 4)
Answer: x^4 - 8x^2 + 16
5. Equation: (x + y)(x + y)
Answer: x^2 + 2xy + y^2
6. Equation: (x - y)(x + y)
Answer: x^2 - y^2
7. Equation: (a + b)(c + d)
Answer: ac + bc + ad + bd
8. Equation: 2(a^2 + a)(3a^2 + 6a)
Answer: 6a^4 + 18a^3 + 12a^2
9. Equation: b(15 - 3b)(15 + 5b)
Answer: 225b + 30b^2 - 15b^3
10. Equation: 12a(a + b)(a + -b)
Answer: 12a^3 - 12ab^2
11. Equation: (j - k)(j - k)
Answer: j^2 -2jk + k^2
12. Equation: (3x + 9)(2x + 5)
Answer: 6x^2 + 33x + 45
13. Equation: (2a + 3b)(6a + 9b)
Answer: 12a^2 + 36ab + 27b^2
14. Equation: (2a + 2a^2)(3 + a)
Answer: 6a + 8a^2 + 2a^3
15. Equation: (5 + x)(2x + 10)
Answer: 50 + 20x + 2x^2
16. Equation: (ab + bc)(ab + bc)
Answer: a^2b^2 + 2ab^2c + b^2c^2
17. Equation: (ab + xy)(7ab + 9xy)
Answer: 7a^2b^2 + 16abxy + 9x^2y^2
18. Equation: (2a + 3b)(5c + 7d)
Answer: 10ac + 14ad + 15bc + 21bd
19. Equation: (5 + x)(2x - 10)
Answer: 2x^2 - 50
20. Equation: (x - x^2)(x^2 - x)
Answer: - x^2 + 2x^3 - x^4

Related Pages

FOIL Method Lesson
Using the FOIL Method to multiply two or more parenthesis. (Multiplying two Binomials, or two Polynomials)

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