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Question -

व्यंजनक 50xy +10yx + 30xy + 6y’ का गुणनखण्ड कीजिए। यदि x = 1,y = 2 हो तो दिये गये व्यंजक के गुणनखण्ड का मान ज्ञात करें।



Answer -

50x2y + 10y2x +30xy + 6y2
= 10y2x + 50x2y + 6y2 +30xy
= 10xy (y + 5x) + 6y (y + 5x)
= (y + 5x) (10xy +6y)
यदि x =1, तथा y = 2 रखने पर
= (x +5 × 1) (10 × 1 × 2 + 6 × 2)
= (2 + 5) (20 + 12)
=7 × 32 = 224

 

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