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

The solution to (2(-3/2))/(1-(-3/2)^2) is 12/5

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

simplify

\frac{2 ( - \frac{3}{2} )}{1 - ( - \frac{3}{2} ) ^{2}}

\frac{12}{5}

Decimal Notation

2.4

Solution steps

\frac{2 ( - \frac{3}{2} )}{1 - ( - \frac{3}{2} ) ^{2}}

Apply rule:

a (- b) = - ab

2 (- \frac{3}{2}) = - 2 \cdot \frac{3}{2}

= \frac{- 2 \cdot \frac{3}{2}}{1 - ( - \frac{3}{2} ) ^{2}}

- 2 \cdot \frac{3}{2} = - 3

= \frac{- 3}{1 - ( - \frac{3}{2} ) ^{2}}

Simplify

1 - (- \frac{3}{2})^{2} : - \frac{5}{4}

= \frac{- 3}{- \frac{5}{4}}

Apply the fraction rule:

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

= \frac{3}{\frac{5}{4}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{3 \cdot 4}{5}

Multiply the numbers:

3 \cdot 4 = 12

= \frac{12}{5}

6 x^{2} + 18 x - 168

- 8 n - 8 = - 72

6 (2 x + 10) \geq 3 x - 9

∣ x - 3 ∣ \leq ∣ x - 5 ∣ - ∣ 2 x - 3 ∣

\frac{7}{25} \cdot \frac{5}{8}