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Factor the polynomial $6x\left(x^2+2\right)^2\left(x^3-1\right)^4+12x^2\left(x^2+2\right)^3\left(x^3-1\right)^3$ by it's greatest common factor (GCF): $6\left(x^3-1\right)^{3}\left(x^2+2\right)^2x$
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$6\left(x^3-1\right)^{3}\left(x^2+2\right)^2x\left(3x^{3}-1+4x\right)$
Learn how to solve factor problems step by step online. Factor the expression 6x(x^2+2)^2(x^3-1)^4+12x^2(x^2+2)^3(x^3-1)^3. Factor the polynomial 6x\left(x^2+2\right)^2\left(x^3-1\right)^4+12x^2\left(x^2+2\right)^3\left(x^3-1\right)^3 by it's greatest common factor (GCF): 6\left(x^3-1\right)^{3}\left(x^2+2\right)^2x. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). The power of a product is equal to the product of it's factors raised to the same power. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2.