Question

evaluate 51^2 using suitable identies
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Answer 1

Answer:

51²

(50+1)²

this is of the form

(a+b)²=a²+2a*b+b²

so

50²2*50*1+1²

2500+100+1

ans 2601

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Answer 2

51^2

= (50+1)^2

Taking a = 50 and b = 1 we get

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

(50+1)^2 = 50^2 + 2(50) (1) + 1^2

= 2500 + 100 + 1

51^2 = 2601