What is the value of \(16^2+17^2\)?
Answer and explanation
Correct answer: 545
Compute each square: \(16^2=256\) and \(17^2=289\). Adding gives \(256+289=545\). As a quick check use the identity \((a+b)^2-2ab\): \((16+17)^2-2\cdot16\cdot17=33^2-544=1089-544=545\). Close options like 535 or 555 result from simple addition/subtraction mistakes. Exam tip: memorize small squares and use the identity \((a+b)^2-2ab\) to verify sums of squares quickly.
Frequently asked questions
What is the correct answer to this question?
545
Why is this the correct answer?
Compute each square: \(16^2=256\) and \(17^2=289\). Adding gives \(256+289=545\). As a quick check use the identity \((a+b)^2-2ab\): \((16+17)^2-2\cdot16\cdot17=33^2-544=1089-544=545\). Close options like 535 or 555 result from simple addition/subtraction mistakes. Exam tip: memorize small squares and use the identity \((a+b)^2-2ab\) to verify sums of squares quickly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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