ABC26GN1213 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

$\left(\frac{785 \times 785 \times 785+435 \times 435 \times 435}{785 \times 785+435 \times 435-785 \times 435}\right)$ simplifies to
(a)350
(b)785
(c)1220
(d)1320
Answer
Answer (as printed): C
Explanation
Given $\exp .=\left(\frac{a^{3}+b^{3}}{a^{2}+b^{2}-a b}\right)=(a+b)$ (where $a=785, b=435$ ) $$=(785+435)=1220 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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