Five mark exercise problems I — task. Mathematics State Board, Class 10.

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Find the least common multiple of \(xy(k^2 + 1) + k(x^2 + y^2)\) and \(xy(k^2 - 1) + k(x^2 - y^2)\)

Answer:

The LCM is:

\((ky - x)(k^2x^2 - y^2)\)
\((ky - x)(k^2x^2 + y^2)\)
\((ky + x)(k^2x^2 + y^2)\)
\((ky + x)(k^2x^2 - y^2)\)

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