The value of
The value of is / मान ज्ञात कीजिए।
$ 16^3 – 10^3 $
Detailed Solution & Logic
3096
हमें चाहिए:
$16^3 - 10^3$
Step 1: याद रखें कि $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$
यहाँ a = 16, b = 10
तो:
$16^3 - 10^3 = (16 - 10)(16^2 + 16 \cdot 10 + 10^2)$
Step 2: 16 - 10 = 6
Step 3: अब दूसरे हिस्से को हल करें:
$16^2 = 256$
$16 \cdot 10 = 160$
$10^2 = 100$
$16^2 + 16 \cdot 10 + 10^2 = 256 + 160 + 100 = 516$
Step 4: अब दोनों को गुणा करें:
$6 \cdot 516 = 3096$
✅ तो, $16^3 - 10^3 = 3096$
मान / Value = 3096
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