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Simplify the expression completely if possible.

(16x^(2)-64 x)/(8x^(3))
Answer:

Simplify the expression completely if possible.\newline16x264x8x3 \frac{16 x^{2}-64 x}{8 x^{3}} \newlineAnswer:

Full solution

Q. Simplify the expression completely if possible.\newline16x264x8x3 \frac{16 x^{2}-64 x}{8 x^{3}} \newlineAnswer:
  1. Factor out common terms: Factor out the common terms in the numerator.\newlineWe can factor out a 16x16x from the numerator to get 16x(x4)16x(x - 4).
  2. Simplify by dividing: Simplify the expression by dividing the numerator by the denominator.\newlineWe have (16x(x4))/(8x3)(16x(x - 4))/(8x^{3}). We can divide both the numerator and the denominator by 8x8x to simplify the expression.
  3. Perform division: Perform the division.\newline(16x(x4)8x3)=2(x4)x2(\frac{16x(x - 4)}{8x^{3}}) = \frac{2(x - 4)}{x^{2}}.
  4. Check for further simplification: Check for any further simplification.\newlineSince there are no common factors left in the numerator and denominator and no negative exponents, the expression is fully simplified.

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