What is expand 3/2 (2-x/3)^2-x/4 (2-x/3)^2 ?

The solution to expand 3/2 (2-x/3)^2-x/4 (2-x/3)^2 is (36-12x+x^2)/6-(x(36-12x+x^2))/(36)

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expand 3/2 (2-x/3)^2-x/4 (2-x/3)^2

expand

\frac{3}{2} (2 - \frac{x}{3})^{2} - \frac{x}{4} (2 - \frac{x}{3})^{2}

\frac{36 - 12 x + x ^{2}}{6} - \frac{x ( 36 - 12 x + x ^{2} )}{36}

Solution steps

\frac{3}{2} (2 - \frac{x}{3})^{2} - \frac{x}{4} (2 - \frac{x}{3})^{2}

Expand

\frac{3}{2} (2 - \frac{x}{3})^{2} : \frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9}

= \frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9} - \frac{x}{4} (2 - \frac{x}{3})^{2}

Expand

- \frac{x}{4} (2 - \frac{x}{3})^{2} : - \frac{x}{4} \cdot \frac{36 - 12 x + x ^{2}}{9}

= \frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9} - \frac{x}{4} \cdot \frac{36 - 12 x + x ^{2}}{9}

Simplify

\frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9} - \frac{x}{4} \cdot \frac{36 - 12 x + x ^{2}}{9} : \frac{36 - 12 x + x ^{2}}{6} - \frac{x ( 36 - 12 x + x ^{2} )}{36}

= \frac{36 - 12 x + x ^{2}}{6} - \frac{x ( 36 - 12 x + x ^{2} )}{36}

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What is expand 3/2 (2-x/3)^2-x/4 (2-x/3)^2 ?
The solution to expand 3/2 (2-x/3)^2-x/4 (2-x/3)^2 is (36-12x+x^2)/6-(x(36-12x+x^2))/(36)