Math vs Math

➤গণিতের সকল সুত্র এর উপর গুরুত্বপুর্ণ একটি লেখা এবং হ্যান্ড নোট।
📷1. (a+b)²= a²+2ab+b²
📷2. (a+b)²= (a-b)²+4ab
📷3. (a-b)²= a²-2ab+b²
📷4. (a-b)²= (a+b)²-4ab
📷5. a² + b²= (a+b)²-2ab.
📷6. a² + b²= (a-b)²+2ab.
📷7. a²-b²= (a + b)(a -b)
📷8. 2(a²+b²)= (a+b)²+(a-b)²
📷9.4ab= (a+b)²-(a-b)²
📷10. ab = {(a+b)/2}²-{(a-b)/2)²
📷11. (a+b+c)² = a²+b²+c²+2(ab+bc+ca)
📷12. (a+b)³ = a³+3a²b+3ab²+b³
📷13. (a+b)³ = a³+b³+3ab(a+b)
📷14. a-b)³= a³-3a²b+3ab²-b³
📷15. (a-b)³= a³-b³-3ab(a-b)
📷16. a³+b³= (a+b) (a²-ab+b²)
📷17. a³+b³= (a+b)³-3ab(a+b)
📷18. a³-b³= (a-b) (a²+ab+b²)
📷19. a³-b³ = (a-b)³+3ab(a-b)
📷20. (a² + b² + c²) = (a + b + c)² -2(ab + bc + ca)
📷21.2 (ab + bc + ca) = (a + b + c)² − (a² + b² + c²)
📷22. (a + b + c)³ = a³ + b³ + c³ + 3 (a + b) (b + c) (c + a)
📷23. a³ + b³ + c³ - 3abc =(a+b+c)(a² + b²+ c²-ab-bc- ca)
📷24. a3 + b3 + c3 = 3abc = (a+b+c) { (a−b)²+(b-c)²+(c-a)²}
📷25.(x + a) (x + b) = x² + (a + b) x + ab
📷26. (x + a) (x - b) = x² + (a - b) x - ab
📷27. (x − a) (x + b) = x² + (b − a) x - ab
📷28. (x- a) (x - b) = x² - (a + b) x + ab
📷29. (x+p) (x+q) (x+r) = x³ + (p+q+r) x² + (pq+qr+rp) x +pqr
📷30. bc (b-c) + ca (c- a) + ab (a - b) = (b -c) (c-a) (a - b)
📷31. a² (b-c) + b² (c- a) + c² (a - b) = -(b-c) (c-a) (a - b)
📷32. a (b²-c²) + b (c²-a²) + c (a²-b²) = (b -c) (c- a) (a - b)
📷33. a³ (b-c) + b³ (c-a) +c³ (a -b) = (b-c) (c-a) (a - b)(a + b + c)
📷34. b²-c² (b²-c²) + c²a²(c²-a²)+a²b²(a²-b²)=-(b-c) (c-a) (a-b) (b+c) .(c+a) (a+b)
📷35. (ab + bc+ca) (a+b+c) - abc = (a + b)(b + c) (c+a) 36. (b + c)(c + a)(a + b) + abc = (a + b +c) (ab + bc + ca)