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

The solution to (2/3 x-3/2 x-1)^2 is ((-6-5x)^2)/(36)

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

simplify

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

\frac{( - 6 - 5 x ) ^{2}}{36}

Solution steps

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

Simplify

\frac{2}{3} x - \frac{3}{2} x - 1 : - x \frac{5}{6} - 1

= (- x \frac{5}{6} - 1)^{2}

Multiply fractions:

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

= (- \frac{5 x}{6} - 1)^{2}

Join

- \frac{5 x}{6} - 1 : \frac{- 6 - 5 x}{6}

= (\frac{- 6 - 5 x}{6})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 6 - 5 x ) ^{2}}{6 ^{2}}

6^{2} = 36

= \frac{( - 6 - 5 x ) ^{2}}{36}

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What is (2/3 x-3/2 x-1)^2 ?
The solution to (2/3 x-3/2 x-1)^2 is ((-6-5x)^2)/(36)