# Factoring a Difference Between Two Squares Worksheet

Factor each expression as a difference between two squares.

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.

If you need assistance with a particular problem, click the “step-by-step” link for an in depth solution.

## Example:

`Equation: x^2 - 1`
`Answer: (x + 1)(x - 1)`

## Quiz:

1. `Equation: x^2y^2 - 4`
`Answer: (xy + 2)(xy - 2)`

2. `Equation: x^4y^2 - 4`
`Answer: (x^2y + 2)(x^2y - 2)`

3. `Equation: x^2 - y^2`
`Answer: (x + y)(x - y)`

4. `Equation: j^2 - k^4`
`Answer: (j + k^2)(j - k^2)`

5. `Equation: 100c^2 - 25d^2`
`Answer: (10c + 5d)(10c - 5d)`

6. `Equation: 36f^2 - 49g^2`
`Answer: (6f + 7g)(6f - 7g)`

7. `Equation: 81k^6l^4m^2 - 16`
`Answer: (9k^3l^2m + 4)(9k^3l^2m - 4)`

8. `Equation: x^2 - z^2`
`Answer: (x + z)(x - z)`

9. `Equation: x^2y^2 - w^2z^2`
`Answer: (xy + wz)(xy - wz)`

10. `Equation: x^4 - y^4`
`Answer: (x^2 + y^2)(x^2 - y^2)`

## Related Pages

Factoring A Difference Between Two Squares Lesson