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
Answers
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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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