What is expand ((-4s+5)^2)/(16) ?

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

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expand ((-4s+5)^2)/(16)

expand

\frac{( - 4 s + 5 ) ^{2}}{16}

s^{2} - \frac{5 s}{2} + \frac{25}{16}

Solution steps

\frac{( - 4 s + 5 ) ^{2}}{16}

(- 4 s + 5)^{2} = 16 s^{2} - 40 s + 25

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Divide the numbers:

\frac{16}{16} = 1

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

Cancel

\frac{40 s}{16} : \frac{5 s}{2}

= s^{2} - \frac{5 s}{2} + \frac{25}{16}

sin (x) \times (cot (x) + csc (x))

\frac{( x ^{3} - 8 ) ( x - 1 )}{x ^{2} - 8}

- \frac{h}{3} (- 3 y + \frac{2 h}{3})^{3} - (- \frac{h}{3})^{4}

(3 x y^{3} + 4 y) d x + (3 x^{2} y^{2} + 2 x) d y

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

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