Math, asked by dudamsrivalli, 1 month ago

verify the identity (a+b)^2=a^2+2ab+b^2 when a=2 b=3​

Answers

Answered by shefalirawat914
1

Step-by-step explanation:

(a+b)

2

≡a

2

+2ab+b

2

Draw a square with side a+b ie 3+2

LHS Area of whole square

=(3+2)

2

=5

2

=25

RHS = Area of square with side 3 units + Area of square with side 3 units + Area of rectangle with side 3,2 units + Area of rectangle with side 2,3 units

=3

2

+2

2

+3×2+3×2

=9+4+6+6=25

LHS=RHS.

Hence verified.

Hope it is helpful for you

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Answered by MrMonarque
80

Hello, Buddy!!

||Required Solution||

By Substituting The Values of a & b

 {(a + b)}^{2}  =  {(a)}^{2}  +  {(b)}^{2}  + 2ab \\  {(2 + 3)}^{2}  =  {(2)}^{2}  +  {(3)}^{2}  + 2(2)(3) \\  {(5)}^{2}  = 4 + 9 + 12 \\ 25 = 25

LHS = RHS

  • Hence, Verified!!

@MrMonarque

Hope It Helps You ✌️

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