What is expand (x-5/4)^2+3 ?

The solution to expand (x-5/4)^2+3 is (16x^2-40x+25)/(16)+3

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expand (x-5/4)^2+3

expand

(x - \frac{5}{4})^{2} + 3

\frac{16 x ^{2} - 40 x + 25}{16} + 3

Solution steps

(x - \frac{5}{4})^{2} + 3

Apply Perfect Square Formula:

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

(x - \frac{5}{4})^{2} = x^{2} - 2 x \frac{5}{4} + (\frac{5}{4})^{2}

= x^{2} - 2 x \frac{5}{4} + (\frac{5}{4})^{2} + 3

Simplify

x^{2} - 2 x \frac{5}{4} + (\frac{5}{4})^{2} : \frac{16 x ^{2} - 40 x + 25}{16}

= \frac{16 x ^{2} - 40 x + 25}{16} + 3

(x sin (θ) + y cos (θ))^{2}

(\frac{( - 1 - 41 )}{2})^{4}

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

(62500) π (\frac{2}{3} - \frac{3 3}{8})

(17 - 3) (6 + 2)

What is expand (x-5/4)^2+3 ?
The solution to expand (x-5/4)^2+3 is (16x^2-40x+25)/(16)+3