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

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

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expand (x^2-1/4)^2

expand

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

\frac{16 x ^{4} - 8 x ^{2} + 1}{16}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= \frac{16 x ^{4} - 8 x ^{2} + 1}{16}

2 x (x + 1)

\frac{( s + 3 )}{( s ^{2} + 6 s + 34 ) ^{2}}

(x - 3 i) (x + 3 i) (x - 2)

4 - 2 (x + Δ x) - 4 - 2 x

(\frac{p}{2} - q) (q + \frac{p}{2})

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