Question

evaluate 1.5^3 - 0.9^3-0.6^3​

Answer 1

$we \:know \:that ,$

$If \: x + y + z = 0 \:then$

$x^{3}+y^{3}+z^{3} = 3xyz$

$Here\: x = 1.5 , \: y = -0.9 \:and \: z = -0.6$

$x + y + z$

$= 1.5 - 0.9 - 0.6$

$= 0 \: --(1)$

$Value \:of \: 1.5^{3} - 0.9^{3} - 0.6^{3}$

$= (1.5)^{3} + (-0.9)^{3} + (-0.6)^{3}$

$= 3xyz$

$= 3 \times (1.5)\times (-0.9) \times (-0.6)$

$= 2.43$

Therefore.,

$\red{Value \:of \: 1.5^{3} - 0.9^{3} - 0.6^{3}} \green { = 2.43}$

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