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Popular >

expand (2-x/3)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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