solve this

Question:

$9^{3}+(-3)^{3}-6^{3}=?$

(a) 432
(b) 270
(c) 486
(d) 540

 

Solution:

$9^{3}+(-3)^{3}-6^{3}=(729)+(-27)-216$

$=729-27-216$

$=729-(27+216)$

$=729-243$

$=486$

$\therefore 9^{3}+(-3)^{3}-6^{3}=486$

Hence, the correct option is (c).

 

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