What is (3(0.9+1))/(0.9^2-1) ?

The solution to (3(0.9+1))/(0.9^2-1) is -30

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simplify (3(0.9+1))/(0.9^2-1)

simplify

\frac{3 ( 0.9 + 1 )}{0. 9 ^{2} - 1}

- 30

Solution steps

\frac{3 ( 0.9 + 1 )}{0. 9 ^{2} - 1}

Factor

0. 9^{2} - 1 : (0.9 + 1) (0.9 - 1)

= \frac{3 ( 0.9 + 1 )}{( 0.9 + 1 ) ( 0.9 - 1 )}

\frac{3 ( 0.9 + 1 )}{( 0.9 + 1 ) ( 0.9 - 1 )} = \frac{3 \cdot 1.9}{1.9 ( - 0.1 )}

= \frac{3 \cdot 1.9}{1.9 ( - 0.1 )}

Cancel the common factor:

1.9

= \frac{3}{- 0.1}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{3}{0.1}

Divide the numbers:

- \frac{3}{0.1} = - 30

= - 30

5 lo g_{2} (48)

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