Simplify the expression AB + A( B + C ) + B ( B + C )?

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gopi

  • Jun 1st, 2005
 

AB + A( B + C ) + B ( B + C ) =  
= AB+AB+AC+BB+BC 
= AB+AC+B+BC 
= AB+AC+B(1+C) 
= AB+AC+BC

praveen

  • Oct 3rd, 2005
 

given ans is wrong

AB+AB+AC+B+BC= B+AC

Soulhunter

  • Jun 7th, 2007
 

AB + A( B + C ) + B ( B + C )?
ab + AB + AC + BB + BC
2AB + AB + AC + BB + BC

neha

  • Sep 12th, 2011
 

AB+AB+AC+B.B+BC
=AB+AC+B(1+C)
=AN+AC+BC

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revathi

  • Apr 24th, 2012
 

AB + A( B + C ) + B ( B + C ) = AB+AB+AC+B2+BC
= (2AB+B2)+AC+BC
= [(A+B)2-A2]+C(A+B)
= (A+B)(A+B-A2)+C
= (A+B)(A+B+C-A2)

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rohitha

  • Jun 22nd, 2012
 

b(2a+b)+c(b+c)

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sandeep bvnr

  • Jul 20th, 2012
 

(2AB+B2+A2-A2)+BC+AC
(A+B)2-A2+C(A+B)
(A+B)(A+B+C)-A2

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anandini

  • Jul 22nd, 2012
 

AB+A(B+C)+B(B+C)
AB+AC+BB+BC
AB+AC+B+BC
AB+AC+B(1+C)
AB+B+AC
B+AC

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ADITYA TIWARI

  • Jul 30th, 2012
 

AB+AA+AC+BB+BC
AB+A+AC+B+BC
AB+A(1+C)+B(1+C)
AB+AC+BC

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sudhakar venkatraman

  • Nov 11th, 2012
 

Perfect ans:

B+AC

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Jenitaa Adel Queen

  • Dec 4th, 2012
 

AB+AB+AC+BB+BC
AB+AC+B+BC
AB+AC+B(1+C)
AB+AC+B
AB+B+AC
B(A+1)+AC
B+AC

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vivek

  • Dec 8th, 2014
 

AB+AC+B+BC
AB+AC+B(1+C)
AB+AC+B
B(1+A)+AC
B+AC

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satya

  • Jan 31st, 2017
 

AB+AB+AC+BB+BC
AB+AC+B+BC
AB+AC+B(1+C)
AB+AC+B
AC+B(1+A)
AC+B

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Rakesh maurya

  • Feb 28th, 2017
 

AB+AC+B+BC     AB+AC+B(1+C)
AB+AC+B          AB+B+AC
B(1+A)+AC          AC+B

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No its not useful infact its wrong

  • Nov 21st, 2017
 

B=AC

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Mansi

  • Nov 26th, 2017
 

Answer is B+AC

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aloys muganamana

  • Dec 11th, 2017
 

AB+A(B+C)+B(B+C)=
AB+AB+AC+BB+BC=
AB+AC+B+BC=
AB+AC+B(1+C)=
AB+AC+B

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shyam

  • Mar 4th, 2018
 

AB+A(B+C)+B(B+C)
AB+AB+AC+BB+BC
AB+AB+AC+B+BC
AB+AB+AC+B
AB+B+AC
B+AC

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Walta Napuo

  • Jun 21st, 2020
 

AB + A( B + C ) + B ( B + C ) =
= AB+AB+AC+BB+BC
= AB+AC+B+BC
= AB+AC+B(1+C)
= AB+AC+BC

Code
  1. c

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Arvind Kumar

  • May 12th, 2023
 

A.B+A(B+C)+B(B+C)
A.B+A.B+A.C+B.B+B.C
A.B+A.C+B+B.C [USING THIS RULE B.B=B]
[ALSO USE THIS RULE A.B+A.B=A.B]
A.B+A.C+B(1+C) [USE THIS RULE 1+C=1]
A.B+A.C+B(1)
A.B+A.C+B
B(A+1)+A.C [USE THIS RULE A+1=1]
B+A.C THIS IS THE MAIN ANSWER

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