What is (x^2)/2 \times 8/x ?

The solution to (x^2)/2 \times 8/x is 4x

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simplify (x^2)/2 \times 8/x

simplify

\frac{x ^{2}}{2} \cdot \frac{8}{x}

4 x

Solution steps

\frac{x ^{2}}{2} \cdot \frac{8}{x}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{x ^{2} \cdot 8}{2 x}

Factor the number:

8 = 2 \cdot 4

= \frac{x ^{2} \cdot 2 \cdot 4}{2 x}

Cancel the common factor:

2

= \frac{x ^{2} \cdot 4}{x}

Simplify

\frac{x ^{2}}{x} : x

= x \cdot 4

= 4 x

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