Questions: 16 x^6 - 12 x^5 / 2 x^2

Transcript text: $\frac{16 x^{6}-12 x^{5}}{2 x^{2}}$

Solution

Solution Steps

Step 1: Factor the numerator

Factor the numerator $ 16x^6 - 12x^5 $ by taking out the greatest common factor (GCF). The GCF of $ 16x^6 $ and $ 12x^5 $ is $ 4x^5 $.
\[ 16x^6 - 12x^5 = 4x^5(4x - 3) \]

Step 2: Rewrite the expression

Rewrite the original expression using the factored numerator: \[ \frac{16x^6 - 12x^5}{2x^2} = \frac{4x^5(4x - 3)}{2x^2} \]

Step 3: Simplify the fraction

Simplify the fraction by dividing the numerator and the denominator by $ 2x^2 $: \[ \frac{4x^5(4x - 3)}{2x^2} = \frac{4x^5}{2x^2} \cdot (4x - 3) = 2x^{5-2}(4x - 3) = 2x^3(4x - 3) \]

Final Answer

$\boxed{2x^3(4x - 3)}$

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Questions: 16 x^6 - 12 x^5 / 2 x^2

Solution

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