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Popular >

expand (x(8-z)^2)/2

Solution

expand

\frac{x ( 8 - z ) ^{2}}{2}

Solution

32 x - 8 x z + \frac{x z ^{2}}{2}

Solution steps

\frac{x ( 8 - z ) ^{2}}{2}

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

= \frac{x ( z ^{2} - 16 z + 64 )}{2}

Expand

x (64 - 16 z + z^{2}) : 64 x - 16 x z + x z^{2}

= \frac{64 x - 16 x z + x z ^{2}}{2}

Apply the fraction rule:

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

\frac{64 x - 16 x z + x z ^{2}}{2} = \frac{64 x}{2} - \frac{16 x z}{2} + \frac{x z ^{2}}{2}

= \frac{64 x}{2} - \frac{16 x z}{2} + \frac{x z ^{2}}{2}

Divide the numbers:

\frac{64}{2} = 32

= 32 x - \frac{16 x z}{2} + \frac{x z ^{2}}{2}

Divide the numbers:

\frac{16}{2} = 8

= 32 x - 8 x z + \frac{x z ^{2}}{2}

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Frequently Asked Questions (FAQ)

What is expand (x(8-z)^2)/2 ?
The solution to expand (x(8-z)^2)/2 is 32x-8xz+(xz^2)/2