Question

Without actually calculating the cubes find the value of: (-8)³+(5)³+(3)³​

Answer 1

Answer:

-360

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

Hope it helps...

Answer 2

Step-by-step explanation:

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