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

The solution to expand ((-4+5x)^2)/(16) is (25x^2}{16}-\frac{5x)/2+1

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

expand

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

\frac{25 x ^{2}}{16} - \frac{5 x}{2} + 1

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{16}{16} = 1

= 1 - \frac{40 x}{16} + \frac{25 x ^{2}}{16}

Cancel

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

= 1 - \frac{5 x}{2} + \frac{25 x ^{2}}{16}

Rewrite in standard form

= \frac{25 x ^{2}}{16} - \frac{5 x}{2} + 1

2 (- 3 x - 5 y = - 2)

(10 x - 20) e - 0.1 x

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

(x - 1) e^{x^{2} - 4}

\frac{( x - 1 )}{( x ( x + 3 ) )}

What is expand ((-4+5x)^2)/(16) ?
The solution to expand ((-4+5x)^2)/(16) is (25x^2}{16}-\frac{5x)/2+1