Question

evaluate (30)3+(20)3-(50)3

Answer 1

Answer:

$30^3+20^3-50^3=-90000$

Step-by-step explanation:

I have used the following formula to find the value of the given expression.

Formula used:

$If\:x+y+z=0,\:then\:x^3+y^3+z^3=3xyz$

Given:

$30^3+20^3-50^3$

$30^3+20^3+(-50)^3$

$x^3+y^3+z^3$

where x=30, y=20, z=-50

Also,

$x+y+z=30+20+(-50)=0$

Using the above formula

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

$30^3+20^3+(-50)^3=3(30)(20)(-50)$

$30^3+20^3+(-50)^3=(1800)(-50)$

$30^3+20^3+(-50)^3=-90000$

Answer 2

Answer:

30³ + 20³ - 50³ =  -90000

Step-by-step explanation:

evaluate (30)3+(20)3-(50)3

Different method to evaluate

30³ + 20³ - 50³

= 27000 + 8000 - 125000

= 35000 - 125000

= -90000

30³ + 20³ - 50³

= (3*10)³ + (2*10)³ - (5*10)³

= 27*10³ + 8*10³ - 125*10³

= 10³(27 + 8 - 125)

= 1000(-90)

= -90000

30³ + 20³ - 50³

a³ + b³ = (a +b)³ - 3ab(a+b)

a = 30

b = 20

= (30 + 20)³ -  3(30)(20)(30 + 20)  - 50³

= 50³ - 1800(50) - 50³

= -90000