Question : Compute the expression (299)² using algebraic identities.
Option 1: 89301
Option 2: 89402
Option 3: 88401
Option 4: 89401
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Correct Answer: 89401
Solution :
Given, $(299)^2$
We can write it as, $(300 - 1)^2$
Using algebraic identity, $(a-b)^2 = a^2 + b^2 - 2ab$
⇒ $(299)^2=300^2 + 1 - 2 × 300 × 1$
⇒ $(299)^2=90000 + 1 - 600$
⇒ $(299)^2=89401$
Hence, the correct answer is 89401.
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