Question

Evaluate (4.56^3+5.44^3)/(4.56^2-4.56*5.44+5.44^2)

Answer 1

the answer is. 10.....

Answer 2

Answer:

10

Step-by-step explanation:

Given problem,

$\frac{4.56^3+5.44^3}{4.56^2-4.56*5.44+5.44^2}$

By using,

a³ + b³ = ( a+b ) (a² - ab + b² ),

$=\frac{(4.56+5.44)(4.56^2-4.56*5.44+5.44^2)}{4.56^2-4.56*5.44+5.44^2}$

$=4.56+5.44$

$=10$

$\implies \frac{4.56^3+5.44^3}{4.56^2-4.56*5.44+5.44^2} = 10$