Math, asked by charan115, 1 year ago

(a+b)^2 answer it qiuckly

Answers

Answered by NidhraNair
19
(a+b)2=a2+2ab+b2

✔️✔️Proof :-

(a+b) ^2 is similar to (a+b)*(a+b)

So (a+b)*(a+b)=a*(a+b) + b*(a+b)

solving brackets :

a*(a+b) + b*(a+b)

=(a*a) +(a*b) +(b*a) +(b*b)

=a^2 + ab + ba + b^2

=a^2 + 2ab + b^2

(a+b) ^2 = a^2 + 2ab + b^2

✔️✔️✔️✔️For geometric proof :-

✔️Area of part 1 :

Part 1 is a square of length a.

Therefore area of part 1 = a2 ----------- (i)

✔️Area of part 2 :

Part 2 is a rectangle of length : b and width : a

Therefore area of part 2 = length * breadth = ba --------------(ii)

✔️Area of part 3:

Part 3 is a rectangle of length: b and width : a

Therefore area of part 3 = length * breadth = ba ------------(iii)

✔️Area of part 4:

Part 4 is a square of length : b

Therefore area of part 4 = b2 ---------------(iv)

So, Area of square of length
(a+b) = (a+b)2 = (i) + (ii) + (iii) + (iv)

so we get...

✔️(a+b)2 = a2 + ba + ba +b2

i.e. ➖(a+b)2 = a2 + 2ab + b2➖

✔️✔️This formula is also used in proving Pythagoras Theorem....
Attachments:
Answered by dipali888
4

Answer:

answer is

Step-by-step explanation:

(a+b)^2 = a^2ab+b^2

I HOPE THIS WILL HELP YOU @@

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