Question

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

Answer 1

Given: (0.013)³ + (0.007)³ / (0.013)² - 0.013 x 0.007 + (0.007)²  

 

Solution :  

We have to find the value of (0.013)³ + (0.007)³ / (0.013)² - 0.013 x 0.007 + (0.007)² by using the identity : a³ + b³ = (a + b)(a² - ab + b²)

 = a³ + b³/a² - ab + b²

= (a + b)(a² - ab + b²)/a² - ab + b²

 = a + b  

Here a = 0.013 & b = 0.007

= 0.013 + 0.007

= 0.02

Hence the value of (0.013)³ + (0.007)³ / (0.013)² - 0.013 x 0.007 + (0.007)² is  0.02.

Among the given options option (B) 0.02 is correct.

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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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If a + b + c = 0, then write the value of a³+b³+c³.

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Answer 2

Answer:

Step-by-step explanation:

We have to find the value of (0.013)³ + (0.007)³ / (0.013)² - 0.013 x 0.007 + (0.007)² by using the identity : a³ + b³ = (a + b)(a² - ab + b²)

 = a³ + b³/a² - ab + b²

= (a + b)(a² - ab + b²)/a² - ab + b²

 = a + b  

Here a = 0.013 & b = 0.007

= 0.013 + 0.007

= 0.02