x^3+8-এর সমাধান করুন

$${ x }^{ 3 } +8$$

Factor

$$\left(x+2\right)\left(x^{2}-2x+4\right)$$

Solution Steps

Rewrite x^{3}+8 as x^{3}+2^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right). Polynomial x^{2}-2x+4 is not factored since it does not have any rational roots.

$$\left(x+2\right)\left(x^{2}-2x+4\right)$$

Evaluate

$$x^{3}+8$$