Question

.. Evaluate :
5.67 x 5.67x5.67 + 4.33x 4.33x 4.33
________________________
5.67x5.67–5.67X 4.33+4.33X 4.33


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Answer 1

Answer:

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5.67×5.57×5.67+4.33×4.33×4.33 ______________________________

5.67×5.67–5.67×4.33+4.33×4.33

$= > {5.67}^{ \: 3} + \: {4.33}^{ \: 3}$

$we \: know \: that \: {a}^{ \: 3} + {b}^{ \: 3} = (a + b) \: ( {a}^{ \: 2} - ab \: + \: {b}^{ \: 2} )$

$= > (5.67 + 4.33( {5.67}^{ \: 2} - 5.67 \times 4.33 + {4.33}^{ \: 2} )$

$= > 10(32.14 - 24.55 + 18.74)$

$= > 10(26.33)$

$= > 263.3$

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Hope it helps uh࿐

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