Evaluate the following using suitable identit | vedclass

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(A) To evaluate $(102)^{3}$,we use the algebraic identity $(a+b)^{3} = a^{3} + b^{3} + 3ab(a+b)$.Here,we can write $102$ as $(100 + 2)$.Substituting $

Vedclass · Accepted Answer

$1061208$

Vedclass · Answer

(A) To evaluate $(102)^{3}$,we use the algebraic identity $(a+b)^{3} = a^{3} + b^{3} + 3ab(a+b)$.Here,we can write $102$ as $(100 + 2)$.Substituting $a = 100$ and $b = 2$ into the identity:$(100 + 2)^{3} = (100)^{3} + (2)^{3} + 3(100)(2)(100 + 2)$Calculating each term:$(100)^{3} = 1000000$$(2)^{3} = 8$$3(100)(2) = 600$Now,substitute these values back:$1000000 + 8 + 600(102)$$= 1000000 + 8 + 61200$$= 1061208$

Evaluate the following using suitable identities: $(102)^{3}$

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