Answer:
[tex](x+5)^{2} (x-2)[/tex]
Step-by-step explanation:
1) Factor [tex]x^3} +8x^{2} +5x-50[/tex] using polynomial division.
[tex](x^{2} +10x+25)(x-2)[/tex]
2) Rewrite [tex]x^{2} +10x+25[/tex] in the form [tex]a^{2} +2ab+b^{2}[/tex], where a = x and b = 5.
[tex](x^{2} +2(x)(5)+5^{2} )(x-2)[/tex]
3) Use Square of Sum: [tex](a+b)^{2} =a^{2} +2ab+b^{2}[/tex].
[tex](x+5)^{2} (x-2)[/tex]
