Question

Simplify:

(361)³ + (139)³
_____________ (361)²- (361x139) + (139)²​

Answer 1

Answer:

[(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.

Answer 2

Answer is in attachment