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Popular >

expand (3-3/2 y)^2

Solution

expand

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

Solution

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

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

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

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Frequently Asked Questions (FAQ)

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