PRODUCTOS NOTABLES

xⁿ – yⁿ Este binomio es factorizable por (x – y) y por (x + y) si n es par
xⁿ + yⁿ Este binomio es factorizable por (x + y) si n es impar
1. (2a + 3b)² =
2. (a²b² – 1)( a²b² + 7) =
3. (a² + 3b)³ =
4. (x^a+1 – 3x^a-2)² =
5. (a + b)(a – b)( a² - b²) =
6. (2a – 1)(1 + 2a) =
7. (a^m + bⁿ)( a^m - bⁿ) =
8. (a^x+1 – 2b^x-1)( 2b^x-1 + a^x+1) =
9. (a – 11)(a + 10) =
10. (x³ + 7)( x³ + 6) =
11. (2m + 9) (2m – 9) =
12. (n² + 2n + 1)(n² – 2n – 1) =
13. (a + 1)(a + 2)(a – 1)(a – 2) =
14. (a² – ab + b²)(a² – b² + ab) =
15. (10x³ – 9xy⁵)² =
16. (a^x-2 – 5)² =
17. 81a² – 225b⁴ =
18. 121p⁴ – 144q⁸ =
1. x²y² + 7xy – 18 =
2. 6a² + 11a + 3 =
3. x²y²z² – 2wxyz – 3w² =
4. 10b² + 21b – 10 =
5. a⁷ – a⁵ =
6. 8a³ – 2c³ =
7. p²q³ – q⁴ =
8. x² + 14x +49 =
9. x² + 8x + 16 =
10. x² -22x +121=
11. a³ – 8 =
12. x³ + 27 =
13. 27a³ – 125b³ =
14. a⁶ – b⁶ =
15. 32x⁶ – 500y¹² =
16. 1 – 2a² + a⁴ =
17. 16m⁴ – 25m² + 9 =
18. x⁵ – 40x³ + 144x =
19. 3 – 3a⁸ =
20. x¹⁷ – x =
21. 12ax⁴ + 33ax² – 9a² =
22. y⁴ – 13y² + 36 =
23. ax² – 1 – a + x² =
1. ac + ad + bc + bd =
2. ax – ay + bx – by + cx – cy =
3. pc + qc + pd + qd =
4. 2ac - 2ad + 3bc – 3bd =
5. 1 + b + a + ab =
6. 12ab + 6c + 9ac + 8b =
7. x² + 2x + 2a + ax =