(785×785×785+435×435×435785×785+435×435−785×435)(785×785×785+435×435×435785×785+435×435−785×435)\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right) simplifies to = ?" /> (785×785×785+435×435×435785×785+435×435−785×435)(785×785×785+435×435×435785×785+435×435−785×435)\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right) simplifies to = ?" /> (785×785×785+435×435×435785×785+435×435−785×435)(785×785×785+435×435×435785×785+435×435−785×435)\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right) simplifies to = ?" />

India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam

Download Our App

$(\frac{785 \times 785 \times 785 + 435 \times 435 \times 435}{785 \times 785 + 435 \times 435 - 785 \times 435})$ $\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)$ simplifies to = ?

1350
2785
31220
41320

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Given expression, \\ (\frac{a^{3} + b^{3}}{a^{2} + b^{2} - a b}) = (a + b) \\ [where a = 785, b = 345] \\ = 785 + 345 = 1220 \end{aligned}

Workspace Report

Post your Comments

simplifies to = ?", "text": "

(\frac{785 \times 785 \times 785 + 435 \times 435 \times 435}{785 \times 785 + 435 \times 435 - 785 \times 435})

$\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)$ simplifies to = ?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Given expression, \\ (\frac{a^{3} + b^{3}}{a^{2} + b^{2} - a b}) = (a + b) \\ [where a = 785, b = 345] \\ = 785 + 345 = 1220 \end{aligned}

$\eqalign{ & {\text{Given expression,}} \cr & \left( {\frac{{{a^3} + {b^3}}}{{{a^2} + {b^2} - ab}}} \right){\text{ = }}\left( {a + b} \right) \cr & \left[ {{\text{where}}\,a = 785,b = 345} \right] \cr & = 785 + 345 = 1220 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: