What is expand ((8+3x)^2)/(16) ?

The solution to expand ((8+3x)^2)/(16) is (9x^2)/(16)+3x+4

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expand ((8+3x)^2)/(16)

expand

\frac{( 8 + 3 x ) ^{2}}{16}

\frac{9 x ^{2}}{16} + 3 x + 4

Solution steps

\frac{( 8 + 3 x ) ^{2}}{16}

(8 + 3 x)^{2} = 64 + 48 x + 9 x^{2}

= \frac{64 + 48 x + 9 x ^{2}}{16}

Apply the fraction rule:

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

\frac{64 + 48 x + 9 x ^{2}}{16} = \frac{64}{16} + \frac{48 x}{16} + \frac{9 x ^{2}}{16}

= \frac{64}{16} + \frac{48 x}{16} + \frac{9 x ^{2}}{16}

Divide the numbers:

\frac{64}{16} = 4

= 4 + \frac{48 x}{16} + \frac{9 x ^{2}}{16}

Divide the numbers:

\frac{48}{16} = 3

= 4 + 3 x + \frac{9 x ^{2}}{16}

Rewrite in standard form

= \frac{9 x ^{2}}{16} + 3 x + 4

(x^{2} - y^{2}) d x

2 cos (t) (4 sin (t) - 3 tan (t))

(π - t)^{2}

1500 + 3750 (\frac{1}{e ^{\frac{2}{5}}} - \frac{1}{e ^{\frac{19}{10}}})

2^{7}

What is expand ((8+3x)^2)/(16) ?
The solution to expand ((8+3x)^2)/(16) is (9x^2)/(16)+3x+4