Divide. $$ \frac{9 x^{9}-24 x^{6}}{3 x^{3}} $$

Question

UpStudy AI · Accepted Answer

To divide the expression:

$$
\frac{9x^{9} - 24x^{6}}{3x^{3}}
$$

**Step 1: Split the Fraction**

Divide each term in the numerator by the denominator separately:

$$
\frac{9x^{9}}{3x^{3}} - \frac{24x^{6}}{3x^{3}}
$$

**Step 2: Simplify Each Term**

1. **First Term:**
   $$
   \frac{9x^{9}}{3x^{3}} = 3x^{6}
   $$
   (Divide the coefficients: $$9 \div 3 = 3$$, and subtract the exponents: $$9 - 3 = 6$$)

2. **Second Term:**
   $$
   \frac{24x^{6}}{3x^{3}} = 8x^{3}
   $$
   (Divide the coefficients: $$24 \div 3 = 8$$, and subtract the exponents: $$6 - 3 = 3$$)

**Step 3: Combine the Simplified Terms**

Putting it all together:

$$
3x^{6} - 8x^{3}
$$

**Final Answer:**

$$
\frac{9x^{9} - 24x^{6}}{3x^{3}} = 3x^{6} - 8x^{3}
$$
$$ 3x^{6} - 8x^{3} $$

Divide. \( \frac{9 x^{9}-24 x^{6}}{3 x^{3}} \)

Solución de tutoría real

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions