Question

simplify ( 361^3 + 139^3)÷(361^2-361×1.39+139^2)​

Answer 1

Answer:

Step-by-step explanation:

49750319.21

Answer 2

It would be 500

Step-by-step explanation:

Given expression,

$(361^3 + 139^3)\div (361^2-361\times 139+139^2)$

$=\frac{361^3 + 139^3}{361^2-361\times 139+139^2}​$

Using the formula,

a³ + b³ = (a+b)(a² - ab + b² )

⇒ $361^3 + 139^3=(361 + 139)(361^2-361\times 139+139^2)$

By substituting the value,

$\frac{361^3 + 139^3}{361^2-361\times 139+139^2}=\frac{(361 + 139)(361^2-361\times 139+139^2)}{361^2-361\times 139+139^2}$

= 361 + 139

= 500

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