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Operations on Rational and Irrational Numbers

93+-33-63=? a...

Question

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

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

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Solution

ANSWER:
$9^{3} + (- 3)^{3} - 6^{3}$
$\to 729 - 27 - 216$
$\to 729 - 27 - 216$
$\to 729 - 243$

$∴ 9^{3} + (- 3)^{3} - 6^{3} = 486$
Hence, the correct option is (c)

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Similar questions

9^{3} + {(- 3)}^{3} - 6^{3}

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

Q. Evaluate using identities

6^{3} - 9^{3} + 3^{3}

Q. The LCM of 12, 15, 20, 27 is
(a) 270
(b) 360
(c) 480
(d) 540

Q. Evaluate the value of

(9)^{3}

(3)^{3}

(6)^{3}

Q. Choose the correct answer of the following question:

The height of an equilateral triangle is

3 \sqrt{3}

cm. Its area is

(a)

6 \sqrt{3}

cm² (b) 27 cm² (c)

9 \sqrt{3}

27 \sqrt{3}

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