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Factor the sum of cubes: $a^3+b^3 = (a+b)(a^2-ab+b^2)$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to-2}\left(\frac{\left(x+2\right)\left(x^2-2x+4\right)}{x^4-16}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(-2)lim((x^3+8)/(x^4-16)). Factor the sum of cubes: a^3+b^3 = (a+b)(a^2-ab+b^2). Factor the difference of squares x^4-16 as the product of two conjugated binomials. Factor the difference of squares \left(x^{2}-4\right) as the product of two conjugated binomials. Simplify the fraction \frac{\left(x+2\right)\left(x^2-2x+4\right)}{\left(x^{2}+4\right)\left(x+2\right)\left(x-2\right)} by x+2.