Evaluate (65)^{2}. | vedclass

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Question

(A) To evaluate $(65)^{2}$,we can use the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$.Here,we can write $65$ as $(60 + 5)$.So,$(65)^{2} = (

Vedclass · Accepted Answer

$4225$

Vedclass · Answer

(A) To evaluate $(65)^{2}$,we can use the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$.Here,we can write $65$ as $(60 + 5)$.So,$(65)^{2} = (60 + 5)^{2}$.Using the identity: $(60)^{2} + 2(60)(5) + (5)^{2}$.$= 3600 + 600 + 25$.$= 4225$.Alternatively,for any number ending in $5$,the square is calculated as $(n5)^{2} = [n(n+1)] 	imes 100 + 25$.For $65$,$n = 6$,so $[6(6+1)] 	imes 100 + 25 = (6 	imes 7) 	imes 100 + 25 = 4200 + 25 = 4225$.

Evaluate $(65)^{2}$.

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