What is expand ((3x)/4-25/4)^2 ?

The solution to expand ((3x)/4-25/4)^2 is (9x^2+625-150x)/(16)

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expand ((3x)/4-25/4)^2

expand

(\frac{3 x}{4} - \frac{25}{4})^{2}

\frac{9 x ^{2} + 625 - 150 x}{16}

Solution steps

(\frac{3 x}{4} - \frac{25}{4})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(\frac{3 x}{4} - \frac{25}{4})^{2} = (\frac{3 x}{4})^{2} - 2 \cdot \frac{3 x}{4} \cdot \frac{25}{4} + (\frac{25}{4})^{2}

= (\frac{3 x}{4})^{2} - 2 \cdot \frac{3 x}{4} \cdot \frac{25}{4} + (\frac{25}{4})^{2}

Simplify

(\frac{3 x}{4})^{2} - 2 \cdot \frac{3 x}{4} \cdot \frac{25}{4} + (\frac{25}{4})^{2} : \frac{9 x ^{2} + 625 - 150 x}{16}

= \frac{9 x ^{2} + 625 - 150 x}{16}

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What is expand ((3x)/4-25/4)^2 ?
The solution to expand ((3x)/4-25/4)^2 is (9x^2+625-150x)/(16)