Simplify (8x^3)/(4x^2).

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Multiple Choice

Simplify (8x^3)/(4x^2).

Explanation:
Simplifying a rational expression by canceling common factors and using exponent rules. Break the fraction into the numeric part and the variable part: 8/4 for the numbers and x^3/x^2 for the variables. 8/4 simplifies to 2, and x^3/x^2 equals x^(3−2) = x. Put them together: 2 · x = 2x. Since the original denominator has x^2, x cannot be zero, so the simplified form is 2x (with x ≠ 0).

Simplifying a rational expression by canceling common factors and using exponent rules. Break the fraction into the numeric part and the variable part: 8/4 for the numbers and x^3/x^2 for the variables. 8/4 simplifies to 2, and x^3/x^2 equals x^(3−2) = x. Put them together: 2 · x = 2x. Since the original denominator has x^2, x cannot be zero, so the simplified form is 2x (with x ≠ 0).

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