What is expand (x-1/2)^2-81/4 ?

The solution to expand (x-1/2)^2-81/4 is (4x^2-4x+1)/4-81/4

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expand (x-1/2)^2-81/4

expand

(x - \frac{1}{2})^{2} - \frac{81}{4}

\frac{4 x ^{2} - 4 x + 1}{4} - \frac{81}{4}

Solution steps

(x - \frac{1}{2})^{2} - \frac{81}{4}

Apply Perfect Square Formula:

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

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

= x^{2} - 2 x \frac{1}{2} + (\frac{1}{2})^{2} - \frac{81}{4}

Simplify

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

= \frac{4 x ^{2} - 4 x + 1}{4} - \frac{81}{4}

e^{(i + 1) t}

\frac{( 5 a - 2 b ) ( 3 ab )}{2}

3 (1 - cos (t))

(2 A + B) (2 A - B)

1988 (s + s^{'})^{3}

What is expand (x-1/2)^2-81/4 ?
The solution to expand (x-1/2)^2-81/4 is (4x^2-4x+1)/4-81/4