What is expand (4x-1/2)^2 ?

The solution to expand (4x-1/2)^2 is (64x^2-16x+1)/4

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expand (4x-1/2)^2

expand

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

\frac{64 x ^{2} - 16 x + 1}{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x)^{2} - 2 \cdot 4 x \frac{1}{2} + (\frac{1}{2})^{2} : \frac{64 x ^{2} - 16 x + 1}{4}

= \frac{64 x ^{2} - 16 x + 1}{4}

(1 - x^{2}) (L ((1 - x^{2})^{\frac{m ^{2}}{2}} - m^{2} x^{2} (1 - x^{2})^{\frac{m ^{2}}{2} - 1}))

(2 - sin^{2} (x)) (cos^{2} (x))

\frac{x + 2}{x ( x - 6 )}

- \frac{2 ( x - 1 ) ^{3} sinh ( x )}{cosh ^{3} ( x )}

sin ((1 - n) π)

What is expand (4x-1/2)^2 ?
The solution to expand (4x-1/2)^2 is (64x^2-16x+1)/4