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Step-by-step Solution
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Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
Learn how to solve polynomial factorization problems step by step online.
$\frac{5x^3+5x}{\left(x^2-x+7+\frac{1}{4}-\frac{1}{4}\right)^2}$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (5x^3+5x)/((x^2-x+7)^2). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-1x+\frac{1}{4}. Subtract the values 7 and -\frac{1}{4}. Factor the polynomial 5x^3+5x by it's greatest common factor (GCF): 5x.