What is expand (x-1/4)^2+7/2 ?

The solution to expand (x-1/4)^2+7/2 is (16x^2-8x+1)/(16)+7/2

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expand (x-1/4)^2+7/2

expand

(x - \frac{1}{4})^{2} + \frac{7}{2}

\frac{16 x ^{2} - 8 x + 1}{16} + \frac{7}{2}

Solution steps

(x - \frac{1}{4})^{2} + \frac{7}{2}

Apply Perfect Square Formula:

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

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

= x^{2} - 2 x \frac{1}{4} + (\frac{1}{4})^{2} + \frac{7}{2}

Simplify

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

= \frac{16 x ^{2} - 8 x + 1}{16} + \frac{7}{2}

arctan (f (5 x^{2} + 4))

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

\frac{2 x - 5}{( 2 x - 4 ) ( x - 4 ) ( x - 5 )}

\frac{- 4 x ^{3} + 1}{2 x ^{\frac{1}{2}} ( x ^{3} + 1 ) ^{2}}

(x + 3) (x + 1) (0.2 x) (\frac{1}{2})

What is expand (x-1/4)^2+7/2 ?
The solution to expand (x-1/4)^2+7/2 is (16x^2-8x+1)/(16)+7/2