\(\frac{(2.3)^3 + 0.027}{(2.3)^2 – 0.69 +0.09}\) बराबर हैं?
What is the value of \(\frac{(2.3)^3 + 0.027}{(2.3)^2 – 0.69 +0.09}\)
\(\frac{(2.3)^3 + 0.027}{(2.3)^2 – 0.69 +0.09}\) बराबर हैं?
Detailed Solution & Logic
Correct Answer:
2.6
Evaluate:
$\frac{(2.3)^3 + 0.027}{(2.3)^2 - 0.69 + 0.09}$
Notice:
$0.027 = (0.3)^3$ and $0.09 = (0.3)^2$
So expression becomes:
$\frac{(2.3)^3 + (0.3)^3}{(2.3)^2 - (2.3)(0.3) + (0.3)^2}$
Use identity:
$\frac{a^3 + b^3}{a^2 - ab + b^2} = a + b$
Here $a = 2.3$, $b = 0.3$
So value =
$2.3 + 0.3 = 2.6$
✅ Final Answer: 2.6
Similar Practice Questions
Find the sum in decimal form \(\frac{4}{10}+\frac{6}{100} +\frac{7}{1000}+\frac{9}{10000}\)
Find the sum in decimal form \(\frac{4}{10}+\frac{6}{100} +\frac{7}{1000}+\frac{9}{10000}\) \(\frac{4}{10}+\frac{6}{100} +\frac{7}{1000}+\frac{9}{10000}\) का योगफल दशमलव रूप में...
Simplify \(196^2\times 56 \div 14^5 \times 1021\) = ?
Simplify/ सरल करें \(196^2\times 56 \div 14^5 \times 1021\) = ?
Find the value/मान ज्ञात करेंः\(9^3 – 9^2 +(\frac{40}{2})^2 – 5 + 8 \times 5 \)= _________
Find the value/मान ज्ञात करेंः \(9^3 – 9^2 +(\frac{40}{2})^2 – 5 + 8 \times 5...
Find the value of (\(\frac{1}{6})^{-2} +( \frac{1}{5})^{-2} + (\frac{1}{4})^{-2}\)
Find the value of (\(\frac{1}{6})^{-2} +( \frac{1}{5})^{-2} + (\frac{1}{4})^{-2}\) (\(\frac{1}{6})^{-2} +( \frac{1}{5})^{-2} + (\frac{1}{4})^{-2}\) का...
Evaluate : \(51 -[25 – \{21 – (14 – 9 + 6)\}]\)
Evaluate / हल कीजिए। \(51 -[25 – \{21 – (14 – 9 + 6)\}]\)
Simplification: \(\frac{(63 + 36) + (63 – 36)}{(63)^2 + (36)^2}\)
Simplification: \(\frac{(63 + 36) + (63 – 36)}{(63)^2 + (36)^2}\)
Simplify 36 – 30 + 300.3 – 0.26
Simplify / निम्नलिखित को सरल कीजिए: 36 – 30 + 300.3 – 0.26