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Photoshop shortcuts keys

Photoshop shortcuts keys 1. CTRL + O - OPEN 2. CTRL + N = NEW FILE 3. CTRL + + = ZOOMIN 4. CTRL + - = ZOOMOUT 5. CTRL + 0 = FIT ON SCREEN 6. CTRL + ALT + 0 = ACTUAL PIXEL SIZE 7. CTRL + " = SHOW HIDE GRIDS 8. CTRL + ; = SHOW HIDE GUIDES 9. ALT + CTRL + ; = LOCK GUIDES 10. CTRL + H = EXTRAS 11. CTRL + Z = UNDO , CTRL + SHIFT + Z = MULTIPLE REDO 12. CTRL + Y = RGB/CMYK 13. CTRL + R = RULER SHOW /HIDE 14. CTRL + T = TRANSFORM 15. CTRL + A = SELECT ALL 16. CTRL + D = DESELECT 17. CTRL + SHIFT + D = RESELECT 18. CTRL + SHIFT + I = SELECT INVERSE 19. SHIFT + CTRL + X = LIQUEFY 20. CTRL + SHIFT + N = INSERT NEW LAYER 21. CTRL + J = DUPLICATE LAYER 22. CTRL + L = LEVELS 23. CTRL + SHIFT + L = AUTO LEVELS 24. CTRL + B - COLOR BALANCE 25. CTRL + SHIFT + B = AUTOCOLOR 26. CTRL + M - CURVES 27. CTRL + SHIFT + U = DESAURATE 28. CTRL + U = HUE AND SATURATION 29. CTRL + I = INVERT 30. CTRL + S = SAVE / SHIFT 31. CTRL +SHIFT + S = SAVE AS 32. CTRL

Algebra Important formula and identities

  Algebra Important formula and identities i. (a+b)² = a²+2ab+b² = (a-b)²+4ab ii. (a-b)² = a²-2ab+b² = (a+b)²-4ab iii. a²+b² = (a+b)²-2ab = (a-b)²+2ab iv. a²-b² = (a+b)(a-b) v. (a-b)³ = a³-b³-3a²b+3ab² = a³-b³-3ab(a-b) vi. a³+b³ = (a+b)³-3ab(a+b) = (a+b)(a²-ab+b²) vii. a³-b³ = (a-b)³+3ab(a-b) = (a-b)(a²+ab+b²) viii. a³+b³+c³-3abc = 1/2(a+b+c)[(a-b)²+(b-c)²+(c-a)²] ix. a³+b³+c³-3abc = (a+b+c)(a²+b²+c²-ab-bc-ca) x. (a+b)³ = a³+b³+3a²b+3ab² = a³+b³+3ab(a+b) xi. a⁴-b⁴=(a²+b²)(a+b)(a-b) xii. (a+b+c)² = a²+b²+c²+2ab+2bc+2ca xiii. (a-b+c)² = a²+b²+c²-2ab-2bc+2ca xiv. (a+b-c)² = a²+b²+c²+2ab-2bc-2ca xv.   (a-b-c)² = a²+b²+c²-2ab+2bc-2ca xvi. (x-a)(x+b) = x²+(a+b)x+ab xvii. (x-a)(x-b) = x²-(a+b)x+ab xviii. a²(b+c)+b²(c-a)+c²(a+b)+2abc = (a+b)(b+c)(c+a) xix.  a²(b²-c²)-b²(c²-a²)+c²(a²-b²) = (a-b)(b-c)(c-a) xx. ab(a-b)+bc(b-c)+ca(c-a) = -(a-b)(b-c)(c-a) xi. (a+b)²+(a-b)²=2(a²+b²) xii. (a+b)²-(a-b)² = 4ab xiii. (a+b+c)³ = a³+b³+c³+3(a+b)(b+c)(c+a) xiv. 2a²b²+2b²c²+2c²a²-a⁴-b⁴-c⁴ = (