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Intern  B
Joined: 25 May 2019
Posts: 5
Location: United States
Concentration: Finance
a+b+c=A a-b-c= B , what is the value of 'A^2-B^2' =?  [#permalink]

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Difficulty:   5% (low)

Question Stats: 85% (01:32) correct 15% (01:51) wrong based on 53 sessions

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a+b+c=A
a-b-c= B , what is the value of 'A^2-B^2' =?
(A) 4a(b+c)
(B) 4b(a+c)
(C) 2c(a+b)
(D) 2a(b-c)
(E) 2b(a-c)
Math Expert V
Joined: 02 Aug 2009
Posts: 8296
a+b+c=A a-b-c= B , what is the value of 'A^2-B^2' =?  [#permalink]

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Aynur1 wrote:
a+b+c=A
a-b-c= B , what is the value of 'A^2-B^2' =?
(A) 4a(b+c)
(B) 4b(a+c)
(C) 2c(a+b)
(D) 2a(b-c)
(E) 2b(a-c)

a+b+c=A
a-b-c= B ,
$$A^2-B^2 =(A+B)(A-B)$$

A+B=a+b+c+a-b-c=2a
A-B=a+b+c-(a-b-c)=2(b+c)

So, $$A^2-B^2 =(A+B)(A-B)=2a*2(b+c)=4a(b+c)$$

A
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Concentration: General Management, Technology
GMAT 1: 600 Q47 V26 GRE 1: Q162 V149 GPA: 3.6
WE: Information Technology (Consulting)
Re: a+b+c=A a-b-c= B , what is the value of 'A^2-B^2' =?  [#permalink]

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1
Eqn 1 - Eqn 2
2a=A+B
Eqn 1+ Eqn 2
2(b+c)= A-B

$$A^2-B^2$$= (A+B)(A-B)= 2a*2(b+C)= 4a(b+c)

Intern  S
Joined: 25 Feb 2019
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Location: India
Concentration: Marketing, General Management
GPA: 3.27
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a+b+c=A a-b-c= B , what is the value of 'A^2-B^2' =?  [#permalink]

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A^2-B^2 = (A+B) (A-B)

We have value of both "A" and "B" by substituting the value we get

=(a+b+c+a-b-c) (a+b+c-a+b+c)
=2a(2b+2c)
=4a(b+c)

Ans Option A a+b+c=A a-b-c= B , what is the value of 'A^2-B^2' =?   [#permalink] 13 Jun 2019, 14:02
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# a+b+c=A a-b-c= B , what is the value of 'A^2-B^2' =?  