Math, asked by gagangothwal43, 2 months ago

the value of (361) square -361 multiply 139+ (139) square​

Answers

Answered by stark1997gamer
0

Answer:

the answer is 18,894,409

Answered by Nishanth0376
0

Answer:

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}

(361)

2

−(361∗139)+(139)

2

(361)

3

+(139)

3

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}

(361)

2

−(361∗139)+(139)

2

(361)

3

+(139)

3

= \frac{{(361 + 139)} {(361^2 -  (361*139) + 139^2)}}{(361)^2- (361*139) +(139)^2}[tex] </p><p>(361) </p><p>2</p><p> −(361∗139)+(139) </p><p>2</p><p> </p><p>(361+139)(361 </p><p>2</p><p> − (361∗139)+139 </p><p>2</p><p> )</p><p>	</p><p>

Cancelling the similar terms

= 361 + 139

= 500

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

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Step-by-step explanation:

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