# FOIL Method Worksheet

Simplify each expression using the FOIL Method.

## Checking Your Answers

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

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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)

## Tutoring

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