गुणनखंड

Question

निम्नलिखित व्यंजकों के गुणनखंड कीजिए:
10a2 - 15b2 + 20c2

Answer

∵                   10a2 = 2 × 5 × a × a = (5) [2 × a × a]
                     15b2 = 3 × 5 × b × b = (5) [3 × b × b]
                     20c2 = 2 × 2 × 5 × c × c = (5)[2 × 2 × c × c]
∴  10a2 - 15b2 + 20c2 = (5)[2 × a × a - 3b × b + 2 × 2 × c × c]
                             = 5[2a2 - 3b2 + 4c2]

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