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06/11/2022
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02/11/2022
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18/07/2022
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)Âŗ = aÂŗ+3a²b+3ab²+bÂŗ
13.. (a+b)Âŗ = aÂŗ+bÂŗ+3ab(a+b)
14.. (a-b)Âŗ= aÂŗ-3a²b+3ab²-bÂŗ
15.. (a-b)Âŗ= aÂŗ-bÂŗ-3ab(a-b)
16.. aÂŗ+bÂŗ= (a+b) (a²-ab+b²)
17.. aÂŗ+bÂŗ= (a+b)Âŗ-3ab(a+b)
18.. aÂŗ-bÂŗ = (a-b) (a²+ab+b²)
19.. aÂŗ-bÂŗ = (a-b)Âŗ+3ab(a-b)
20.. (a² + b² + c²) = (a + b + c)² â 2(ab + bc + ca)
21.. 2 (ab + bc + ca) = (a + b + c)² â (a² + b² + c²)
22.. (a + b + c)Âŗ = aÂŗ + bÂŗ + cÂŗ + 3 (a + b) (b + c) (c + a)
23.. aÂŗ + bÂŗ + cÂŗ â 3abc =(a+b+c)(a² + b²+ c²âabâbcâ ca)
24.. a3 + b3 + c3 â 3abc =ÂŊ (a+b+c) { (aâb)²+(bâc)²+(câa)²}
25.. (x + a) (x + b) = x² + (a + b) x + ab
26.. (x + a) (x â b) = x² + (a â b) x â ab
27.. (x â a) (x + b) = x² + (b â a) x â ab
28.. (x â a) (x â b) = x² â (a + b) x + ab
29.. (x+p) (x+q) (x+r) = xÂŗ + (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.. aÂŗ (b - c) + bÂŗ (c-a) +cÂŗ (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)
37. đŖāĻāϝāĻŧāϤāĻā§āώā§āϤā§āϰđŖ
38. 1.āĻāϝāĻŧāϤāĻā§āώā§āϤā§āϰā§āϰ āĻā§āώā§āϤā§āϰāĻĢāϞ = (āĻĻā§āϰā§āĻā§āϝ à āĻĒā§āϰāϏā§āĻĨ) āĻŦāϰā§āĻ āĻāĻāĻ
39. 2.āĻāϝāĻŧāϤāĻā§āώā§āϤā§āϰā§āϰ āĻĒāϰāĻŋāϏā§āĻŽāĻž = 2 (āĻĻā§āϰā§āĻā§āϝ+āĻĒā§āϰāϏā§āĻĨ)āĻāĻāĻ
40. 3.āĻāϝāĻŧāϤāĻā§āώā§āϤā§āϰā§āϰ āĻāϰā§āĻŖ = â(āĻĻā§āϰā§āĻā§āĻ¯Â˛+āĻĒā§āϰāϏā§āĻĨ²)āĻāĻāĻ
41. 4.āĻāϝāĻŧāϤāĻā§āώā§āϤā§āϰā§āϰ āĻĻā§āϰā§āĻā§āϝ= āĻā§āώā§āϤā§āϰāĻĢāĻ˛ÃˇāĻĒā§āϰāϏā§āϤ āĻāĻāĻ
42. 5.āĻāϝāĻŧāϤāĻā§āώā§āϤā§āϰā§āϰ āĻĒā§āϰāϏā§āϤ= āĻā§āώā§āϤā§āϰāĻĢāĻ˛ÃˇāĻĻā§āϰā§āĻā§āϝ āĻāĻāĻ
43.đŖāĻŦāϰā§āĻāĻā§āώā§āϤā§āϰđŖ
44. 1.āĻŦāϰā§āĻāĻā§āώā§āϤā§āϰā§āϰ āĻā§āώā§āϤā§āϰāĻĢāϞ = (āϝ⧠āĻā§āύ āĻāĻāĻāĻŋ āĻŦāĻžāĻšā§āϰ āĻĻā§āϰā§āĻā§āϝ)² āĻŦāϰā§āĻ āĻāĻāĻ
45. 2.āĻŦāϰā§āĻāĻā§āώā§āϤā§āϰā§āϰ āĻĒāϰāĻŋāϏā§āĻŽāĻž = 4 à āĻāĻ āĻŦāĻžāĻšā§āϰ āĻĻā§āϰā§āĻā§āϝ āĻāĻāĻ
46. 3.āĻŦāϰā§āĻāĻā§āώā§āϤā§āϰā§āϰ āĻāϰā§āĻŖ=â2 à āĻāĻ āĻŦāĻžāĻšā§āϰ āĻĻā§āϰā§āĻā§āϝ āĻāĻāĻ
47. 4.āĻŦāϰā§āĻāĻā§āώā§āϤā§āϰā§āϰ
28/06/2022
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