Question

PLEASE FIND 7 ASAP, I need to know the answer right now or else I’ll lose 3 marks

Answer 1

Answer:

7500

Step-by-step explanation:

7)Given :-

(25)³+(-5)³+(-20)³

To find :-

Find the value of the expression without actually finding the cubes ?

Solution :-

Given numerical expression is (25)³+(-5)³+(-20)³

It is in the form of a³+b³+c³

Where ,

a = 25

b = -5

c = -20

and

a+b+c = 25+(-5)+(-20)

=> a+b+c = 25-5-20

=> a+b+c = 25-25

=> a+b+c = 0

We have a +b+c = 0

We know that

If a+b+c = 0 then a³+b³+c³ = 3abc

On applying this formula to the above expression

=> (25)³+(-5)³+(-20)³

=> 3(25)(-5)(-20)

=> 75×100

=> 7500

Therefore, (25)³+(-5)³+(-20)³ = 7500

Answer:-

The value of the given expression is 7500

Check:-

(25)³+(-5)³+(-20)³

(25)³ = 25×25×25 = 15625

(-5)³ = -5×-5×-5 = -125

(-20)³ = -20×-20×-20 = 8000

Now,

(25)³+(-5)³+(-20)³

=> 15625-125-8000

=> 15625-8125

=> 7500

Verified the given relations in the given problem.

Used formulae:-

If a+b+c = 0 then a³+b³+c³ = 3abc