Question

Phân tích đa thức thành nhân tử :

x⁶ - y⁶

Answer 1

\(x^6-y^6\)

\(\Leftrightarrow\left(x^3\right)^2-\left(y^3\right)^2\)

\(\Leftrightarrow\left(x^3-y^3\right)\left(x^3+y^3\right)\)

Vậy .....................................................

Answer 2

\(x^6-y^6\)

\(=\left(x^3-y^3\right)\left(x^3+y^3\right)\)

Answer 3

\(x^6-y^6=\left(x^3-y^3\right)\left(x^3+y^3\right)\\ =\left(x-y\right)\left(x^2+xy+y^2\right)\left(x+y\right)\left(x^2-xy+y^2\right)\)

Answer 4

\(x^6-y^6\)

\(=\left(x-y\right).\left(x^5+x^4y+x^3y^2+x^2y^3+xy^4+y^5\right)\)

Tổng quát:

\(x^n-y^n\)

\(=\left(x-y\right).\left(x^{n-1}+x^{n-2}y+x^{n-3}y^2+...+x^2y^{n-3}+xy^{n-2}+y^{n-1}\right)\)

Chúc bạn học tốt!!!

Answer 5

\(x^6-y^6\\ =\left(x^3\right)^2-\left(y^3\right)^2\\ =\left(x^3-y^3\right)\left(x^3+y^3\right)\)