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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Question : The algebraic expression $4x^2-y^2+6y-9$ is equal to______.
Option 1: $(2x + y - 3)(2x - y + 3)$
Option 2: $(2x - y - 3)(2x - y + 3)$
Option 3: $(2x + y - 3)^2$
Option 4: $(2x + y + 3)^2$
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Option 1: 297
Option 2: 298
Option 3: 300
Option 4: 299
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Option 1: 4
Option 2: 1
Option 3: 3
Option 4: 2
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Option 2: –2
Option 3: 2
Option 4: –4
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Option 1: 9
Option 2: 2
Option 3: 4
Option 4: 6
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