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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

2 \cdot \frac{x}{3} - \frac{3}{2} x - 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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Frequently Asked Questions (FAQ)

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