Question

The value of (2.3)³ - 0.027 / (2.3)³ + 0.69 + 0.09 is
A. 2
B. 3
C. 2.327
D. 2.273

Answer 1

Answer:

2

Step-by-step explanation:

(2.3)^3-0.027/(2.3)^2+0.69+0.09is in given figure:

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Answer 2

Given : (2.3)³ - 0.027 / (2.3)³ + 0.69 + 0.09  

Solution :  

We can write this as :  

(2.3)³ - (0.3)³ / (2.3)³ + 0.69 + 0.09  

We know that ,  a³ - b³= (a - b)(a² - ab + b²)  

Thus a - b  = (a³ - b³) / (a² - ab + b²)

Here a = 2.3 & b = 0.3

∴ (2.3³ - 0.3³) / (2.3² + 0.69 + 0.3²)  

= (2.3³ - 0.3³) / (2.3² + 2.3 x 0.3 + 0.3²)  

= 2.3 - 0.3  

= 2

Hence the value of  (2.3)³ - 0.027 / (2.3)³ + 0.69 + 0.09 is 2

Among the given options option  (A) 2  is correct.

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The value of (0.013)³ + (0.007)³ / (0.013)² - 0.013 x 0.013 x 0.007 + (0.007)² is

A. 0.006

B. 0.02

C. 0.0091

D. 0.00185

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The expression (a-b)³+(b-c)³+(c-a)³ can be factorized as:

A. (a-b)(b-c)(c-a)

B. 3(a-b)(b-c)(c-a)

C. -3(a-b)(b-c)(c-a)

D. (a+b+c)(a²+b²+c²-ab-bc-ca)

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