Find the value of ((343 × 343 × 343-113 × 113 × 113)/(343 × 343+343 × 113+113 × 113)). (B.Ed. Entrance, 2010) · ABC26GN0856
Subject: General Aptitude · Chapter: Simplification
Find the value of $\left(\frac{343 \times 343 \times 343-113 \times 113 \times 113}{343 \times 343+343 \times 113+113 \times 113}\right)$. (B.Ed. Entrance, 2010)
Answer
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Explanation
Given expression $=\frac{\left(a^{3}-b^{3}\right)}{\left(a^{2}+a b+b^{2}\right)}$, where $a=343, b=113$ $$=(a-b)=(343-113)=230 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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