What is expand (3-3/(2y))^2 ?

The solution to expand (3-3/(2y))^2 is (36y^2-36y+9)/(4y^2)

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expand (3-3/(2y))^2

expand

(3 - \frac{3}{2 y})^{2}

\frac{36 y ^{2} - 36 y + 9}{4 y ^{2}}

Solution steps

(3 - \frac{3}{2 y})^{2}

Apply Perfect Square Formula:

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

(3 - \frac{3}{2 y})^{2} = 3^{2} - 2 \cdot 3 \cdot \frac{3}{2 y} + (\frac{3}{2 y})^{2}

= 3^{2} - 2 \cdot 3 \cdot \frac{3}{2 y} + (\frac{3}{2 y})^{2}

Simplify

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

= \frac{36 y ^{2} - 36 y + 9}{4 y ^{2}}

(10 b - \frac{4}{3} y)^{2}

4 (e^{x} + e^{x} x)

5 (\frac{3}{7} u - \frac{3}{13} v^{2})^{2}

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

3 (2 - 2)

What is expand (3-3/(2y))^2 ?
The solution to expand (3-3/(2y))^2 is (36y^2-36y+9)/(4y^2)