Final Answer
Step-by-step Solution
Specify the solving method
Factor the difference of squares $x^4-16$ as the product of two conjugated binomials
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to2}\left(\frac{\left(x^{2}+4\right)\left(x^{2}-4\right)}{x^3-8}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(2)lim((x^4-16)/(x^3-8)). 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. Factor the difference of cubes: a^3-b^3 = (a-b)(a^2+ab+b^2). Simplify the fraction \frac{\left(x^{2}+4\right)\left(x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x^2+2x+4\right)} by x-2.