Solved Factoring Polynomials Worksheet 2 Name Difference of ... - Free Printable

1. $3p^2 - 2p - 5 = (3p - 5)(p + 1)$
2. $3x^2 - 6x - 45 = 3(x - 5)(x + 3)$
3. $4w^2 - 15w - 25 = (4w + 5)(w - 5)$
4. $4y^2 - 20y + 25 = (2y - 5)^2$
5. $10j^3 - 130j^2 + 400j = 10j(j - 8)(j - 5)$
6. $-49 + 35b - 4b^2 = -(4b - 7)(b - 7)$
7. $2n^2 + 5mn + 2m^2 = (2n + m)(n + 2m)$
8. $4y^2 - 17y + 4 = (4y - 1)(y - 4)$
9. $-5x^2 + 18x - 9 = -(5x - 3)(x - 3)$
10. $12u^2 - 4u - 16 = 4(3u - 4)(u + 1)$
11. $z^4 + 6z^3 - 7z^2 = z^2(z + 7)(z - 1)$
12. $9k^2 + 66k + 21 = 3(3k + 1)(k + 7)$
13. $6x^2 - 7xy - 3y^2 = (3x + y)(2x - 3y)$
14. $6b^2 - 15b - 9 = 3(2b + 1)(b - 3)$
15. $4w^2 - 17w - 15 = (4w + 3)(w - 5)$
16. $4y^2 - 17y + 15 = (4y - 5)(y - 3)$
17. $15m^3 + 9m^2 - 6m = 3m(5m - 2)(m + 1)$
18. $z^4 + 2z^2 - 1 = (z^2 + 1 - \sqrt{2})(z^2 + 1 + \sqrt{2})$
19. $h^3 - k^3 = (h - k)(h^2 + hk + k^2)$
20. $8p^3 + r^3 = (2p + r)(4p^2 - 2pr + r^2)$
21. $125h^3 - 27k^3 = (5h - 3k)(25h^2 + 15hk + 9k^2)$
22. $27c^6 - 8d^3 = (3c^2 - 2d)(9c^4 + 6c^2d + 4d^2)$
23. $250a^3 + 2b^3 = 2(5a + b)(25a^2 - 5ab + b^2)$
24. $36w^2 - 49z^2 = (6w - 7z)(6w + 7z)$
25. $5x^2 - 45 = 5(x - 3)(x + 3)$
26. $a^3x - 16ax^3 = ax(a - 4x)(a + 4x)$
27. $16a^4 - b^4 = (4a^2 - b^2)(4a^2 + b^2) = (2a - b)(2a + b)(4a^2 + b^2)$
28. $3x^7 + 36x^5 + 108x^3 = 3x^3(x^4 + 12x^2 + 36) = 3x^3(x^2 + 6)^2$
29. $4u^2 + 20u + 25 = (2u + 5)^2$
30. $121b^2 - 66bd + 9d^2 = (11b - 3d)^2$