The correct option is D 540We know that if a + b + c = 0 then a3 + b3 + c3 = 3abc a = 9, b = 5, c = 4 9 + ( 5) + ( 4) = 0 ∴ 93 53 43 = 93 + ( 5)3 + ( ...

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Standard VIII

Mathematics

Expansion of (a+b+c)^2

Evaluate 93-5...

Question

Evaluate 9³ - 5³ - 4^{3 .}

450

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180

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540

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270

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Solution

The correct option is C 540
We know that if a + b + c = 0 then a³+ b³+ c³= 3abc

a = 9, b = -5, c = -4
9 + (-5) + (-4) = 0

$∴$ 9³ - 5³ - 4³= 9³ + (-5)³ + (-4)³= 3(9)(-5)(-4)
= 540

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Similar questions

Q. Use property to evaluate :

9^{3} - 5^{3} - 4^{3}

Q. Use property to evaluate:

9^{3} - 5^{3} - 4^{3}

Q. Evaluate the following, using the distributive property.

(i) - 39 \times 99

(ii)

(- 85) \times 43 + 43 \times (- 15)

(iii)

53 \times (- 9) - (- 109) \times 53

(iv)

68 \times (- 17) + (- 68) \times 3

Q. Evaluate

\frac{{(3^{- 2})}^{2} \times {(5^{2})}^{- 3} \times {(t^{- 3})}^{1}}{{(3^{- 2})}^{5} \times {(5^{3})}^{- 2} \times {(t^{- 4})}^{3}}

Q. The following data set is data.

$99$	$93$	$39$	$43$	$93$
$39$	$66$	$43$	$33$	$44$

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Evaluate 93 - 53 - 43 .

The correct option is C 540We know that if a + b + c = 0 then a3 + b3 + c3 = 3abc a = 9, b = -5, c = -4 9 + (-5) + (-4) = 0 ∴ 93 - 53 - 43 = 93 + (-5)3 + (-4)3 = 3(9)(-5)(-4) = 540

Evaluate 9³ - 5³ - 4^{3 .}

The correct option is C 540
We know that if a + b + c = 0 then a³+ b³+ c³= 3abc

a = 9, b = -5, c = -4
9 + (-5) + (-4) = 0

$∴$ 9³ - 5³ - 4³= 9³ + (-5)³ + (-4)³= 3(9)(-5)(-4)
= 540