phân tích đa thức thành nhân tử

M

manhnguyen0164

a. $x^8+64=x^8+16x^4+64-16x^4=(x^4+8)^2-(4x^2)^2$

$=(x^4+4x^2+8)(x^4-4x^2+8)$

b. $x^5+x-1=x^5+x^2-(x^2-x+1)=x^2(x+1)(x^2-x+1)-(x^2-x+1)$

$=(x^2-x+1)(x^3+x^2-1)$

c. $x^{10}+x^5+1=(x^{10}-x^7)+(x^7-x^4)+(x^5-x^2)+(x^4-x)+(x^2+x+1)$

$=(x^2+x+1)(x^8-x^7+x^5-x^4+x^3-x+1)$
 
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