Common mathematical formulas

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1. (α+в)²= α²+2αв+в²
2. (α+в)²= (α-в)²+4αв
3. (α-в)²= α²-2αв+в²
4. (α-в)²= (α+в)²-4αв
5. α² + в²= (α+в)² – 2αв.
6. α² + в²= (α-в)² + 2αв.
7. α²-в² =(α + в)(α – в)
8. 2(α² + в²) = (α+ в)² + (α – в)²
9. 4αв = (α + в)² -(α-в)²
10. αв ={(α+в)/2}²-{(α-в)/2}²
11. (α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)
12. (α + в)³ = α³ + 3α²в + 3αв² + в³
13. (α + в)³ = α³ + в³ + 3αв(α + в)
14. (α-в)³=α³-3α²в+3αв²-в³
15. α³ + в³ = (α + в) (α² -αв + в²)
16. α³ + в³ = (α+ в)³ -3αв(α+ в)
17. α³ -в³ = (α -в) (α² + αв + в²)
18. α³ -в³ = (α-в)³ + 3αв(α-в)
????9th,10th,11th,12th.
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» M. A. — Master of Arts. »B.tech – Bachelor of Technology
» B. Sc. — Bachelor of Science
» M. Sc. — Master of Science
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» B. Com. — Bachelor of Commerce
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» Dr. — Doctor

» B. P. — Blood Pressure
» Mr. — Mister
» Mrs. — Mistress
» M.S. — miss (used for female married & unmarried)
» Miss — used before unmarried girls)
» M. P. — Member of Parliament
» M. L. A. — Member of Legislative Assembly
» M. L. C. — Member of Legislative Council
» P. M. — Prime Minister
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» C-in-C — Commander-In-Chief
» L. D. C. — Lower Division Clerk
» U. D. C. — Upper Division Clerk
» Lt. Gov. — Lieutenant Governor
» D. M. — District Magistrate
» V. I. P. — Very Important Person
» I. T. O. — Income Tax Officer
» C. I. D. — Criminal Investigation Department
» C/o — Care of
» S/o — Son of

» C. B. I. — Central Bureau of Investigation
» G. P. O. — General Post Office
» H. Q. — Head Quarters
» E. O. E. — Errors and Omissions Excepted
» Kg. — Kilogram
» KW. — Kilowatts

?Gm. — Gram
?Km. — Kilometer
?Ltd. — Limited
?M. P. H. — Miles Per Hour
?KM. P. H. — Kilometre Per Hour
?P. T. O. — Please Turn Over
?P. W. D. — Public Works Department
?C. P. W. D. — Central Public Works Department
?Y. S. D. — United States of Sanjer pur

?P. K. — United Kingdom (Pakistan)
?U. N. O. — United Nations Organization
?W. H. O. — World Health Organization
?B. B. C. — British Broadcasting Corporation
?B. C. — Before Christ
?A. C. — Air Conditioned
?I. G. — Inspector General (of Police)

?D. I. G. — Deputy Inspector General (of Police)
?S. S. P. — Senior Superintendent of Police
?D. S. P. — Deputy Superintendent of Police
?S. D. M. — Sub-Divisional Magistrate
?S. M. — Station Master
?A. S. M. — Assistant Station Master
?V. C. — Vice-Chancellor

?A. G. — Accountant General
?C. R. — Confidential Report
?P. A. S. — pakistan Administrative Service
?P. P. S. — Pakista Police Service
?P. F. S. — P Foreign Service or Pakistan Forest Service
?Pakistan. R. S. — Pakistan Revenue Service
?P. C. S. — Provincial Civil Service
?M. E. S. — Military Engineering Service

☀Full Form Of Some technical Words
» VIRUS – Vital Information Resource Under Seized.
» 3G -3rd Generation.
» GSM – Global System for Mobile Communication.
» CDMA – Code Division Multiple Access.
» UMTS – Universal Mobile Telecommunication System.
» SIM – Subscriber Identity Module .
» AVI = Audio Video Interleave
» RTS = Real Time Streaming
» SIS = Symbian OS Installer File

» AMR = Adaptive Multi-Rate Codec
» JAD = Java Application Descriptor
» JAR = Java Archive
» JAD = Java Application Descriptor
» 3GPP = 3rd Generation Partnership Project
» 3GP = 3rd Generation Project

» MP3 = MPEG player-3
» MP4 = MPEG-4 video file
» AAC = Advanced Audio Coding
» GIF= Graphic Interchangeable Format
» JPEG = Joint Photographic Expert Group
» BMP = Bitmap
» SWF = Shock Wave Flash

» WMV = Windows Media Video
» WMA = Windows Media Audio
» WAV = Waveform Audio
» PNG = Portable Network Graphics
» DOC =Document (Microsoft Corporation)
» PDF = Portable Document Format
» M3G = Mobile 3D Graphics
» M4A = MPEG-4 Audio File
» NTH = Nokia Theme (series 40)
» THM = Themes (Sony Ericsson)
» MMF =Synthetic Music Mobile Application File
» NRT = Nokia Ringtone
» XMF = Extensible Music File
» WBMP = Wireless Bitmap Image
» DVX = DivX Video

» HTML = Hyper Text Markup Language
» WML =Wireless Markup Language
» CD -Compact Disk.
» DVD – Digital Versatile Disk.
» CRT – Cathode Ray Tube.
» DAT – Digital Audio Tape.
» DOS – Disk Operating System.
» GUI -Graphical User Interface.

» HTTP – Hyper Text Transfer Protocol.
» IP – Internet Protocol.
» ISP – Internet Service Provider.
» TCP – Transmission Control Protocol.
» UPS – Uninterruptible Power Supply.

» HSDPA -High Speed Downlink Packet Access.
» EDGE – Enhanced Data Rate for Evolution.
» GSM- [Global System for Mobile Communication]

» VHF – Very High Frequency.
» UHF – Ultra HighFrequency