Question

evaluate 30 Cube + 20 cube minus 50 cube

Answer 1

30³+20³+(-50)³ =3×30×20×(-50) =-90000
# Hope this will help you

Answer 2

Answer:

The value is 90,000

Step-by-step explanation:

Given the expression

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

we have to evaluate the above expression.

By the identity

$a^3 + b^3 + c^3 - 3abc = (a + b + c )(a^2 + b^2 + c^2 -ab - ac -bc)$

which implies

$a^3 + b^3 + c^3 = 3abc\text{ if } a+b+c=0$

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

$\text{Comparing with }a^3+b^3+c^3$

⇒ a=30, b=20, c=-50

$a+b+c=30+20-50=0$

Therefore by identity

$a^3 + b^3 + c^3 = 3abc$

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

Hence, the value is 90,000