Question

Simplyfy:- 0.035*0.035*0.035+(0.965) 3 / (0.035) 2 -0.035*0.965+(0.965) 2

Answer 1

[ 0.035 * 0.035 * 0.035  + (0.965)³ ] / [ (0.035)² - 0.035 * 0.965 + 0.965² ]

Let  x  = 0.035     y = 0.965

So   given   [ x³ + y³ ] / [ x² - x y + y² ]
    =  (x + y) (x² - x y + y²) / (x² - xy + y²)
    =  x + y
    = 0.035  +  0.965
    = 1.000

By using the algebraic principles, we can evaluate the above arithmetic expression easily without calculating a lot of things.