Factorization: A ^ 2 + 2Ab + 2ac-2bc-3b ^ 2

a^2+2ab+2ac-2bc-3b^2
=a^2-2ab+b^2+2ac-2bc-4b^2+4ab
=(a-b)^2+2c(a-b)+4b(a-b)
=(a-b)(a-b+2c+4b)
==(a-b)(a+3b+2c)

RELATED INFORMATIONS

1. It is known that a, B and C belong to positive real numbers, and it is proved that (BC / a) + (AC / b) + (AB / C) > = a + B + C Second question: A + B + C = 1, proving: radical a + radical B + radical C
2. A, B and C are positive real numbers. Prove BC / A + AC / B + AB / C > = a + B + C
3. Let a ^ n * (a ^ 2-B * c) + B ^ n (b ^ 2-ac) + C ^ n (C ^ 2-AB) > = 0 Prove a ^ n * (a ^ 2-B * c) + B ^ n (b ^ 2-ac) + C ^ n (C ^ 2-AB) > = 0, where n is any positive number
4. If a, B, C and D are all real numbers, we try to list a set of values that make inequality a / b > C / d > 0 and ad > BC hold
5. If a, B, C and D are all real numbers, a set of inequalities (a, B, C, d) which make a / b > C / d > 0 and ad < BC hold are
6. a. B, C, D are all real numbers. A group of values (a, B, C, d) which make the inequality AB > CD > 0 and ad < BC hold are______ (just write a set of values suitable for the condition)
7. Three inequalities are known: (1) AB > 0; (2) C / a > - D / B; (3) BC > ad If two of them are taken as conditions and the remaining one as a conclusion, a correct proposition can be formed Wrong number~ Three inequalities are known: (1) AB > 0; (2) C / AAD
8. Three inequalities are known: (1) AB > 0, (2) C / a > D / B, (3) BC > ad If two of them are taken as the conditions and the other one is taken as the conclusion, the composition can be formed______ A correct proposition
9. There are four inequalities: (1) A2 + B2 + C2 ≥ AB + BC + AC; (2) a (1-A) ≤ 14; (3) BA + ab ≥ 2; (4) (A2 + B2) (C2 + D2) ≥ (AC + BD) 2; where () A. 1 B. 2 C. 3 d. 4
10. The proof of inequality (AC + BD) & sup2; ≤ (A & sup2; + B & sup2;) (C & sup2; + D & sup2;)
11. 2 ab + C-2 AC-B factorization
12. Decomposition factor A ^ + B ^ + C ^ + 2Ab + 2BC + 2Ac
13. Factorization a square (B-C) + 4 (C-D) - 2Ac + 2Ab
14. B ^ 2 + C ^ 2 + 2Ab + 2BC + 2Ac factorization
15. B * 2 + C * 2 + 2Ab + 2Ac + 2BC factorization
16. B ^ 2 + C ^ 2 + 2Ab + 2Ac + 2BC factorization
17. When m is the value, the system of equations y = x + m x square + y square = 2 has two equal real solutions
18. When m is the value, the equations x + 2y-6 = 0 and y = MX + 3 have two identical real solutions
19. When m is the value, the equations {y ^ 2 = 12x, y = 3x + m have two identical real solutions, and the solutions of the equations are obtained
20. Given a = m / 2 + 1, B = m / 2 + 2, C = m / 2 + 3, find the value of a ^ 2 + 2Ab + B ^ 2-2ac-abc + C ^ 2