Respuesta :
Answer:
The factor of [tex]x^{3}+8[/tex] is [tex](x+2)(x^{2}-2x+4)[/tex]
Step-by-step explanation:
We need to factorise the given expression [tex]x^{3}+8[/tex]
Re-write the expression [tex]x^{3}+8[/tex] as:
[tex]x^{3}+2^{3}[/tex]
Since, [tex]a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})[/tex]
so, here a = x and b = 2
[tex](x+2)(x^{2}-2x+2^{2})[/tex]
[tex](x+2)(x^{2}-2x+4)[/tex]
Hence, The factor of [tex]x^{3}+8[/tex] is [tex](x+2)(x^{2}-2x+4)[/tex]
