Factoring Special Patterns Worksheet with Answer Key

What's on the worksheet

1. Factor each difference of two squares and check one answer.
   t^2 - 121100 - 9k^29x^2 - 64y^4a^2b^2 - 36p^6 - 25
2. Factor each perfect square trinomial and check the middle term.
   x^2 - 18x + 8125 + 10t + t^29a^2 + 42a + 4964m^2 - 48mn + 9n^2a^2b^2 + 6ab + 9
3. Factor each sum or difference of two cubes.
   x^3 + 1000125 - y^38a^3 - 27b^3
4. Name the pattern of each expression and factor those that fit.
   x^2 + 49y^3 - 14x^2 - 12x + 9x^2 - 12x^2 - 8x - 16
5. Use sums and differences of two numbers to find a difference of squares without solving.
6. Multiply out Owen's answer, find his error, and factor correctly.
7. Square mirror and frame: use the border area to find a side length.
8. Find all whole-number pairs with a difference of squares of 24 and explain why the list is complete.