Final Answer
$\left(4x^3-5\right)^4x^{6}\left(x^{3}-2\right)^3$
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Step-by-step Solution
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1
Factor the polynomial $\left(x^5-2x^2\right)$ by it's greatest common factor (GCF): $x^2$
$\left(x^2\left(x^{3}-2\right)\right)^3\left(4x^3-5\right)^4$
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$\left(x^2\left(x^{3}-2\right)\right)^3\left(4x^3-5\right)^4$
Learn how to solve factor problems step by step online. Factor the expression (x^5-2x^2)^3(4x^3-5)^4. Factor the polynomial \left(x^5-2x^2\right) by it's greatest common factor (GCF): x^2. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^2\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 3. Multiply 2 times 3.
Final Answer
$\left(4x^3-5\right)^4x^{6}\left(x^{3}-2\right)^3$