Question

without actually calculating, find the value of (25)³- (75)³+(50)³

Answer 1

Without actually calculating much, find the value of

(25)^3 - (75)^3 + (50)^3 ?

a little factoring will help...

(25)^3 - (3)^3 (25)^3 + (2)^3 (25)^3 = (25)^3[1 - (3)^3 + (2)^3] = (25)^3[1 - 27 + 8] =

(25)^3 [- 18]

now, you have to calculate !

get involved !

id est

[- 281250]

Answer 2

The answer is -281250

Given : The given mathematical problem is, (25)³- (75)³+(50)³

To find : The answer to the given mathematical problem.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the answer to the given mathematical problem)

Here, we will be using general mathematical techniques (eg. taking common etc.) instead of direct calculations.

Now,

= (25)³- (75)³+ (50)³

= (25)³ + (-75)³ + (50)³

Let,

• 25 = a
• (-75) = b
• 50 = c

Now,

(a+b+c) = 25-75+50 = 0

Which means,

(a³+b³+c³) = 3abc

So,

= (25)³ + (-75)³ + (50)³

= 3 × [25 × (-75) × 50]

= -281250

(This will be considered as the final result.)

Hence, the answer is -281250

#SPJ3