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Popular >

expand (4-1/x)^2

Solution

expand

(4 - \frac{1}{x})^{2}

Solution

\frac{16 x ^{2} - 8 x + 1}{x ^{2}}

Solution steps

(4 - \frac{1}{x})^{2}

Apply Perfect Square Formula:

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

(4 - \frac{1}{x})^{2} = 4^{2} - 2 \cdot 4 \cdot \frac{1}{x} + (\frac{1}{x})^{2}

= 4^{2} - 2 \cdot 4 \cdot \frac{1}{x} + (\frac{1}{x})^{2}

Simplify

4^{2} - 2 \cdot 4 \cdot \frac{1}{x} + (\frac{1}{x})^{2} : \frac{16 x ^{2} - 8 x + 1}{x ^{2}}

= \frac{16 x ^{2} - 8 x + 1}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (4-1/x)^2 ?
The solution to expand (4-1/x)^2 is (16x^2-8x+1)/(x^2)