Question

without calculating cubes find the value of
${55}^{3} - {25}^{3} - {30}^{3}$

Answer 1

bonjour dear!

if x+y+z=0 then,

x³+y³+z³ = 3xyz

here x= 55 , y = -25 and z= -30

x+y+z= 55+-25+-30

= 55+-55

= 0

∴ x³+y³+z³ = 3xyz

(55)³ +(-25)³+(-30)³ = 3*55*(-25)*(-30)

= 123,750

hope this helps

keep smiling

:)

Answer 2

$\huge\color{red}{Hello}$$\huge\color{red}{friends,}$

$\huge\color{orange}\boxed{ANSWER}$

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$<b><i><u>Here$ x = 55 , y = -25 , z = -30

=>x + y + z = 55 + (-25) + (-30)

=>55 + (-55)

=>0

✔️x³+y³+z³ = 3xyz

=>55³+(-25)³+(-30)³=3*55*(-25)*(-30)


=>1,23,750
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