all algebric identities
Answers
Answered by
17
1. (a+b)2 = a2 +2ab +b2
2. (a-b)2 = a2 -2ab+b2
3. (a+b) (a-b) = a2 -b2
4. (x+a)(x+b) = x2 + (a+b)x +ab
5. (x+a)(x-b) = x2 + (a-b)x -ab
6. (x-a)(x+b) = x2 + (b-a)x -ab
7. (x-a)(x-b) = x2 - (a+b)x + ab
8. (a+b)3 = a3 + b3 +3ab(a+b)
9. (a-b)3 = a3 - b3 - 3ab(a - b)
10. (x + y + z)2 = x2 + y2 + z2 + 2xy +2yz + 2xz
11. (x + y - z)2 = x2 + y2 + z2 + 2xy - 2yz - 2xz
12. (x - y + z)2 = x2 + y2 + z2 - 2xy - 2yz + 2xz
13. (x - y - z)2 = x2 + y2 + z2 - 2xy + 2yz - 2xz
14. x3 + y3 + z3 - 3xyz = (x + y + z)(x2 + y2 + z2 - xy - yz -xz)
Answered by
2
Answer:
1. (a+b)2 = a2 +2ab +b2
2. (a-b)2 = a2 -2ab+b2
3. (a+b) (a-b) = a2 -b2
4. (x+a)(x+b) = x2 + (a+b)x +ab
5. (x+a)(x-b) = x2 + (a-b)x -ab
6. (x-a)(x+b) = x2 + (b-a)x -ab
7. (x-a)(x-b) = x2 - (a+b)x + ab
8. (a+b)3 = a3 + b3 +3ab(a+b)
9. (a-b)3 = a3 - b3 - 3ab(a - b)
10. (x + y + z)2 = x2 + y2 + z2 + 2xy +2yz + 2xz
11. (x + y - z)2 = x2 + y2 + z2 + 2xy - 2yz - 2xz
12. (x - y + z)2 = x2 + y2 + z2 - 2xy - 2yz + 2xz
13. (x - y - z)2 = x2 + y2 + z2 - 2xy + 2yz - 2xz
14. x3 + y3 + z3 - 3xyz = (x + y + z)(x2 + y2 + z2 - xy - yz -xz)
Step-by-step explanation:
Similar questions