Subtract the rational expressions:
8

5b3
−
6

5b3

Simplify if possible.

Question

Subtract the rational expressions:  
8

5b3
−
6

5b3

Simplify if possible.

BlackTom AI · Accepted Answer

Question restatement: Subtract the rational expressions: 8/(5b^3) − 6/(5b^3). Simplify if possible.

Step 1: Identify a common denominator. Both fractions have the same denominator, 5b^3, so we can subtract the numerators directly while keeping the denominator unchanged.

Step 2: Subtract the numerators. Compute 8 − 6, which equals 2. The denominator remains 5b^3, so we get 2/(5b^3).

Step 3: Check for simplification. The fraction 2/(5b^3) has numerator 2 and denominator 5b^3. Since 2 shares no common factor with 5 or with b^3 (assuming b ≠ 0), there is no simplification by cancelling common factors. No like terms to combine further, and the expression is already in lowest terms.

Optional note: If b = 0, the original expressions are undefined due to division by zero, so the simplification assumes b ≠ 0 throughout.

ALGII141-027 5.4 Practice Problems

Subtract the rational expressions: 8 5b3 − 6 5b3 Simplify if possible.

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