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Popular >

expand (3n-1/2)^2

Solution

expand

(3 n - \frac{1}{2})^{2}

Solution

\frac{36 n ^{2} - 12 n + 1}{4}

Solution steps

(3 n - \frac{1}{2})^{2}

Apply Perfect Square Formula:

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

(3 n - \frac{1}{2})^{2} = (3 n)^{2} - 2 \cdot 3 n \frac{1}{2} + (\frac{1}{2})^{2}

= (3 n)^{2} - 2 \cdot 3 n \frac{1}{2} + (\frac{1}{2})^{2}

Simplify

(3 n)^{2} - 2 \cdot 3 n \frac{1}{2} + (\frac{1}{2})^{2} : \frac{36 n ^{2} - 12 n + 1}{4}

= \frac{36 n ^{2} - 12 n + 1}{4}

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Frequently Asked Questions (FAQ)

What is expand (3n-1/2)^2 ?
The solution to expand (3n-1/2)^2 is (36n^2-12n+1)/4