without actually calculating the cube, find the value of (3)³+(5)³+(-8)³
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Answer: the answer is -360 mark me as brainliest
Step-by-step explanation:
Here we are using a³+b³+c³-3abc=(a+b+c)(a²+b²+c²)
(-8)³+(5)³+(3)³-{3×(-8)×(5)×(3)}=(-8+5+3)(-8²+5²+3²)
or, (-8)³+(5)³+(3)³-{3×(-8)×(5)×(3)}=0×(-8²+5²+3²)
or, (-8)³+(5)³+(3)³-{3×(-8)×(5)×(3)}=0
or, (-8)³+(5)³+(3)³={3×(-8)×(5)×(3)}
or, (-8)³+(5)³+(3)³=-360
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