What is the value of - 2-3 3 -0-027 2-3 2 -0-69-0-09 -

The correct option is B 2 [ #160; (2.3)^3 (0.3)^3(2.3)^2+(2.3)(0.3)+(0.3)^2 ] #160;= (2.3 0.3)[(2.3)^2+(2.3)(0.3)+(0.3)^2](2.3)^2+(2.3)(0.3)+(0.3) ...

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Byju's Answer

Standard VII

Mathematics

Exponents with Unlike Bases and Same Exponent

What is the v...

Question

What is the value of $[\frac{{(2.3)}^{3} - 0.027}{{(2.3)}^{2} + 0.69 + 0.09}]$ ?

2.6

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Solution

The correct option is B $2$
$[\frac{(2.3)^{3} - (0.3)^{3}}{(2.3)^{2} + (2.3) (0.3) + (0.3)^{2}}] = \frac{(2.3 - 0.3) [(2.3)^{2} + (2.3) (0.3) + (0.3)^{2}]}{(2.3)^{2} + (2.3) (0.3) + (0.3)^{2}}$
$(a^{3} - b^{3}) = (a - b) (a^{2} + b^{2} + a b) = 2$

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Similar questions

The value of $\frac{(2.3)^{3} - 0.027}{(2.3)^{2} + 0.69 + 0.09}$ is

\frac{{(2.3)}^{3} - 0.027}{{(2.3)}^{2} + 0.69 + 0.09} = ?

Q. Evaluate:

\frac{(2.3)^{3} - 0.027}{(2.3)^{2} + 0.69 + 0.09}

The value of (2.3)³ -0.027/(2.3)²

+0.69 + (0.3)²

$T h e v a l u e o f \frac{(2.3)^{3} - .027}{({2.3}^{2} + 0.69 + 0.09)} i s$

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What is the value of [(2.3)3−0.027(2.3)2+0.69+0.09]?

The correct option is B 2[(2.3)3−(0.3)3(2.3)2+(2.3)(0.3)+(0.3)2]=(2.3−0.3)[(2.3)2+(2.3)(0.3)+(0.3)2](2.3)2+(2.3)(0.3)+(0.3)2(a3−b3)=(a−b)(a2+b2+ab)=2

What is the value of $[\frac{{(2.3)}^{3} - 0.027}{{(2.3)}^{2} + 0.69 + 0.09}]$ ?

The correct option is B $2$
$[\frac{(2.3)^{3} - (0.3)^{3}}{(2.3)^{2} + (2.3) (0.3) + (0.3)^{2}}] = \frac{(2.3 - 0.3) [(2.3)^{2} + (2.3) (0.3) + (0.3)^{2}]}{(2.3)^{2} + (2.3) (0.3) + (0.3)^{2}}$
$(a^{3} - b^{3}) = (a - b) (a^{2} + b^{2} + a b) = 2$