Question

find the value of 2.7^3 - 1.6^3 - 1.1^3 using a suitable identity.​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given :-

(2.7)³ - (1.6)³ -(1.1)³

To find :-

Find the value of the expression ?

Solution :-

Given numerical expression is (2.7)³ - (1.6)³ -(1.1)³

It can be written as (2.7)³+(-1.6)³+(-1.1)³

It is in the form of a³+b³+c³

Where , a = 2.7 , b = -1.6 and c = -1.1

We have,

a+b+c = 2.7+(-1.6)+(-1.1)

=> a+b+c = 2.7-1.6-1.1

=> a+b+c = 2.7-2.7

=> a+b+c = 0

We know that

If a+b+c = 0 then a³+b³+c³ = 3abc

Now,

(2.7)³+(-1.6)³+(-1.1)³

=> 3(2.7)(-1.6)(-1.1)

=> 14.256

Answer :-

The value of the expression is (2.7)³ - (1.6)³ -(1.1)³ is 14.256

Check:-

2.7³ = 2.7×2.7×2.7 = 19.683

1.6³ = 1.6×1.6×1.6 = 4.096

1.1³ = 1.1×1.1×1.1 = 1.331

Now,

(2.7)³ - (1.6)³ -(1.1)³

=> 19.683-4.096-1.331

=> 19.683-5.427

=> 14.256

Used formulae:-

→ If a+b+c = 0 then a³+b³+c³ = 3abc