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Popular >

expand (x/3-2)^2

Solution

expand

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

Solution

\frac{36 + x ^{2} - 12 x}{9}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is expand (x/3-2)^2 ?
The solution to expand (x/3-2)^2 is (36+x^2-12x)/9