Which form is easiest for finding ( 999^2 )?
Answer and explanation
Correct answer: \((1000-1)^2\)
Since \(999=1000-1\), the most convenient form is \((1000-1)^2\). It can be evaluated directly using \((a-b)^2=a^2-2ab+b^2\). The form \((1000+1)^2\) represents the square of 1001, not 999. Exam tip: use a nearby base such as 10, 100, or 1000 with an algebraic identity.
Frequently asked questions
What is the correct answer to this question?
\((1000-1)^2\)
Why is this the correct answer?
Since \(999=1000-1\), the most convenient form is \((1000-1)^2\). It can be evaluated directly using \((a-b)^2=a^2-2ab+b^2\). The form \((1000+1)^2\) represents the square of 1001, not 999. Exam tip: use a nearby base such as 10, 100, or 1000 with an algebraic identity.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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