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Using an algebraic identity, find the correct value of \\(97)^2.
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Answer and explanation
Correct answer: 9409
Use the identity \\(a-b)^2=a^2-2ab+b^2. Since \\(97=100-3, \\(97)^2=(100-3)^2=10000-600+9=9409, so option A is correct. The nearby numerical distractors result from small place-value or middle-term errors; in an exam, check the term \\(-2ab carefully.
Frequently asked questions
What is the correct answer to this question?
9409
Why is this the correct answer?
Use the identity \\(a-b)^2=a^2-2ab+b^2. Since \\(97=100-3, \\(97)^2=(100-3)^2=10000-600+9=9409, so option A is correct. The nearby numerical distractors result from small place-value or middle-term errors; in an exam, check the term \\(-2ab carefully.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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