What is expand ((-8X+A)^2)/(16) ?

The solution to expand ((-8X+A)^2)/(16) is 4X^2-AX+(A^2)/(16)

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expand ((-8X+A)^2)/(16)

expand

\frac{( - 8 X + A ) ^{2}}{16}

4 X^{2} - A X + \frac{A ^{2}}{16}

Solution steps

\frac{( - 8 X + A ) ^{2}}{16}

(- 8 X + A)^{2} = 64 X^{2} - 16 A X + A^{2}

= \frac{64 X ^{2} - 16 A X + A ^{2}}{16}

Apply the fraction rule:

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

\frac{64 X ^{2} - 16 A X + A ^{2}}{16} = \frac{64 X ^{2}}{16} - \frac{16 A X}{16} + \frac{A ^{2}}{16}

= \frac{64 X ^{2}}{16} - \frac{16 A X}{16} + \frac{A ^{2}}{16}

Divide the numbers:

\frac{64}{16} = 4

= 4 X^{2} - \frac{16 A X}{16} + \frac{A ^{2}}{16}

Divide the numbers:

\frac{16}{16} = 1

= 4 X^{2} - A X + \frac{A ^{2}}{16}

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What is expand ((-8X+A)^2)/(16) ?
The solution to expand ((-8X+A)^2)/(16) is 4X^2-AX+(A^2)/(16)