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Popular >

simplify (3/2*x+2/3)^2

Solution

simplify

(\frac{3}{2} \cdot x + \frac{2}{3})^{2}

Solution

\frac{( 9 x + 4 ) ^{2}}{36}

Solution steps

(\frac{3}{2} x + \frac{2}{3})^{2}

Simplify

\frac{3}{2} x + \frac{2}{3} : \frac{9 x + 4}{6}

= (\frac{9 x + 4}{6})^{2}

Apply exponent rule:

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

= \frac{( 9 x + 4 ) ^{2}}{6 ^{2}}

6^{2} = 36

= \frac{( 9 x + 4 ) ^{2}}{36}

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Frequently Asked Questions (FAQ)

What is (3/2*x+2/3)^2 ?
The solution to (3/2*x+2/3)^2 is ((9x+4)^2)/(36)