Question
Download Solution PDFदिए गए व्यंजक को सरल कीजिए।
\(\frac{[120\times120\times120-100\times100\times100]}{[120\times120+120\times100+100\times100]}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
व्यंजक = \(\frac{[120×120×120-100×100×100]}{[120×120+120×100+100×100]}\)
प्रयुक्त सूत्र:
a3 - b3 = (a - b) × (a2 + ab + b2)
गणना:
प्रश्न के अनुसार
⇒ \(\frac{[120×120×120-100×100×100]}{[120×120+120×100+100×100]}\)
⇒ \(\frac{[120^3-100^3]}{[120^2+120×100+100^2]}\)
⇒ \(\frac{[120-100]\ \times [120^2+120×100+100^2] }{[120^2+120×100+100^2]}\)
⇒ 120 -100 = 20
∴ अभीष्ट परिणाम 20 होगा।
Last updated on Jul 12, 2025
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