Evaluate (421)^{2}. | vedclass

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(C) To evaluate $(421)^{2}$,we can use the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$.We can write $421$ as $(400 + 21)$.Applying the iden

Vedclass · Accepted Answer

$177241$

Vedclass · Answer

(C) To evaluate $(421)^{2}$,we can use the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$.We can write $421$ as $(400 + 21)$.Applying the identity: $(400 + 21)^{2} = (400)^{2} + 2(400)(21) + (21)^{2}$.$(400)^{2} = 160000$.$2 	imes 400 	imes 21 = 800 	imes 21 = 16800$.$(21)^{2} = 441$.Adding these values together: $160000 + 16800 + 441 = 177241$.Therefore,$(421)^{2} = 177241$.

Evaluate $(421)^{2}$.

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