Question

5 find the value of 361 cube + 139 cube upon 361 square - 361 into 139 + 13 9 square

Answer 1

Answer:

Step-by-step explanation:

The answer is -30,497

Answer 2

$\dfrac{361^3+139^3}{361^2-361\times 139+139^{2}}=500$

Solution:

Given that,

We have to find:

$\dfrac{361^3+139^3}{361^2-361\times 139+139^{2}}$

Using the following algebraic identity,

$a^{3}+b^{3}=(a+b)(a^{2}+ab+b^{2})$

Apply this for numerator

$\dfrac{(361+139)(361^2-361\times 139+139^{2})}{361^2-361\times 139+139^{2}}\\\\Cancel\ the\ common\ factors\\\\361+139\\\\500$

$Thus\\\\\dfrac{361^3+139^3}{361^2-361\times 139+139^{2}} = 500$

Learn more:

The value of

(361)3 +(139)3 / (361)2 − 361 ∗ 139 + (139)2 is __

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Simplify :(361)^3 +(139)^ 3÷

(361)^2- (361X139) +(139)^2​

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