Final Answer
$\frac{-6+5x^2-x}{\left(x-2\right)\left(x^2+2x+4\right)}$
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Step-by-step Solution
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1
Simplify the product $-(6x+12)$
$\frac{3}{x-2}+\frac{2x+3}{x^2+2x+4}+\frac{-6x-12}{x^3-8}$
Learn how to solve combining like terms problems step by step online.
$\frac{3}{x-2}+\frac{2x+3}{x^2+2x+4}+\frac{-6x-12}{x^3-8}$
Learn how to solve combining like terms problems step by step online. Simplify 3/(x-2)+(2x+3)/(x^2+2x+4)(-(6x+12))/(x^3-8). Simplify the product -(6x+12). Given a pair of cubes to factor: x^3-8, start by rewriting both terms to the cubic power. 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 least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors.
Final Answer
$\frac{-6+5x^2-x}{\left(x-2\right)\left(x^2+2x+4\right)}$