कौन-सा विकल्प \(\frac{x^{12}-4096}{x^{6}-64}\) का सरल रूप है, जहाँ \(x^{6}\neq64\)?
Which option is the simplified form of \(\frac{x^{12}-4096}{x^{6}-64}\), where \(x^{6}\neq64\)?
Explanation opens after your attempt
Correct Answer
B. \(x^{6}+64\)
Concept
Since (x^{12}-4096=\(x^{6}\)^{2}-64^{2}=\(x^{6}-64\)\(x^{6}+64\)), cancelling the common factor gives \(x^{6}+64\).
Why this answer is correct
The correct answer is B. \(x^{6}+64\). Since (x^{12}-4096=\(x^{6}\)^{2}-64^{2}=\(x^{6}-64\)\(x^{6}+64\)), cancelling the common factor gives \(x^{6}+64\).
Exam Tip
(x^{12}-4096=\(x^{6}\)^{2}-64^{2}=\(x^{6}-64\)\(x^{6}+64\))। समान गुणनखंड कटने पर \(x^{6}+64\) मिलता है।
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