Special Products Worksheet with Answer Key

What's on the worksheet

1. Expand each square of a binomial or sum and difference product.
   (m + 6)^2(z - 9)^2(5 - 2q)^2(4c + 3)(4c - 3)(-y - 6)^2
2. Decide whether each trinomial is a perfect square and write it as a square if so.
   4x^2 + 12x + 9x^2 + 10x + 169y^2 - 30y + 25x^2 - 6x - 925 + 20k + 4k^2
3. Expand each special product and collect like terms.
   (x + 4)^2 - (x + 3)(x - 3)(2y - 1)^2 + (y + 2)(y - 2)3(t - 2)^2 - (t + 6)(t - 6)
4. Say what went wrong in each expansion and write the correct one.
5. Hannah's floor tiles: use the extra area of a larger tile to find a side length.
6. Expand products whose terms are sums, using a substitution.
7. Square numbers ending in 5 using the pattern 10n plus 5.