कौन-सा विकल्प \(\frac{x^{6}-1}{x^{3}-1}\) का सरल रूप है, जहाँ \(x^{3}\neq1\)?
Which option is the simplified form of \(\frac{x^{6}-1}{x^{3}-1}\), where \(x^{3}\neq1\)?
Explanation opens after your attempt
Correct Answer
A. \(x^{3}+1\)
Concept
Since (x^{6}-1=\(x^{3}-1\)\(x^{3}+1\)), cancelling the common factor gives \(x^{3}+1\). In exams, recognize the \(A^{2}-B^{2}\) form.
Why this answer is correct
The correct answer is A. \(x^{3}+1\). Since (x^{6}-1=\(x^{3}-1\)\(x^{3}+1\)), cancelling the common factor gives \(x^{3}+1\). In exams, recognize the \(A^{2}-B^{2}\) form.
Exam Tip
(x^{6}-1=\(x^{3}-1\)\(x^{3}+1\)), इसलिए समान गुणनखंड कटने पर \(x^{3}+1\) मिलता है। परीक्षा में \(A^{2}-B^{2}\) रूप पहचानें।
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