Question

simplify :(361)^3 +(139)^ 3÷
(361)^2- (361X139) +(139)^2​

Answer 1

The final result of (361)³ +(139)³÷ (361)²- (361X139) +(139)² is 500.

Step-by-step explanation:

Given simplification:

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

To find:

The final result of the given simplification

Solution:

Algebraic Formula Used:

• a³ + b³ = (a+b)(a² – ab + b²)

Based on the above formula we will break the numerator into simple terms

[(361)³ +(139)³] = [361 + 139][361² – (361*139) + 139²]

∴ $\frac{(361)^3 +(139)^3}{(361)^2- (361*139) +(139)^2}$

= $[tex]\frac{{(361 + 139)} {(361^2 -  (361*139) + 139^2)}}{(361)^2- (361*139) +(139)^2}$[/tex]

Cancelling the similar terms

= 361 + 139

= 500

Thus, the final result of the given simplification is 500.

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Answer 2

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Answer:

It would be 500

Step-by-step explanation:

Given expression,

(361)³+(139)³/(361)² - 139 +(139)²

Using the formula,

a³ + b³ = (a+b)(a² - ab + b² )

⇒ you can do yourself

By substituting the value,

And when you substituting you will get this

= 361 + 139

= 500

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