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Factor the sum or difference of cubes using the formula: $a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2)$
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$\frac{\left(2a-1\right)\left(4a^{2}+2a+1\right)}{2a-1}$
Learn how to solve factor problems step by step online. Factor the expression (8a^3-1)/(2a-1). Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Simplify the fraction \frac{\left(2a-1\right)\left(4a^{2}+2a+1\right)}{2a-1} by 2a-1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2.