Final answer to the problem
$x\left(4x^{3}-2x-1-4x^2\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the polynomial $\left(x^2-x\right)$ by it's greatest common factor (GCF): $x$
$2x^4-4x^2-x+2\left(x\left(x-1\right)\right)^2$
Learn how to solve combining like terms problems step by step online.
$2x^4-4x^2-x+2\left(x\left(x-1\right)\right)^2$
Learn how to solve combining like terms problems step by step online. Reduce like terms 2x^4-4x^2-x2(x^2-x)^2. Factor the polynomial \left(x^2-x\right) by it's greatest common factor (GCF): x. The power of a product is equal to the product of it's factors raised to the same power. Expand \left(x-1\right)^2. Factor the polynomial 2x^4-4x^2-x+2x^2\left(x^2-2x+1\right) by it's greatest common factor (GCF): x.
Final answer to the problem
$x\left(4x^{3}-2x-1-4x^2\right)$