Question

Simplify ( 343×343×343_113×113×113)/(343×343+343×113+113×113)

Answer 1

this is ur required result

Answer 2

Answer:

$Value \: of \:\frac{343\times 343\times 343 - 113\times 113\times 113}{343\times 343+343\times 113+113\times 113}= 220$

Step-by-step explanation:

$\frac{343\times 343\times 343 - 113\times 113\times 113}{343\times 343+343\times 113+113\times 113}$

$=\frac{343^{3}-113^{3}}{343^{2}+343\times 113+113^{2}}$

$By \: algebraic \: identity :\\</p><p>a^{3}-b^{3}= (a-b)(a^{2}+ab+b^{2}$

$Here , \\a = 343, \: b = 113$

$= \frac{(343-113)(343^{2}+343\times 113+113^{2})}{(343^{2}+343\times 113+113^{2})}$

$= 343-113\\=220$

Therefore.,

$Value \: of \:\frac{343\times 343\times 343 - 113\times 113\times 113}{343\times 343+343\times 113+113\times 113}= 220$

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