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p^2 + 5p + 25/4 का गुणनखंड कीजिए|

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{ p }^{ 2 }+{ 5p }+\frac { 25 }{ 4 } का गुणनखंड कीजिए|

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{ p }^{ 2 }+{ 5p }+\frac { 25 }{ 4 }

\(= p^2+\frac{5}{2}p+\frac{5}{2}p+\frac{25}{4}\)

\(= p(p+\frac{5}{2})+\frac{5}{2}(p+\frac{5}{2})\)

\(= (p+\frac{5}{2})(p+\frac{5}{2})\)

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