Question

Phân tích đa thức thành nhân tử

x³+7x²y+7xy²+y³

Answer 1

\(x^3+7x^2y+7xy^2+y^3\)

\(\Leftrightarrow x^3+3x^2y+3xy^2+y^3+4x^2y+4xy^2\)

\(\Leftrightarrow\left(x+y\right)^3+4xy\left(x+y\right)\)

\(\Leftrightarrow\left(x+y\right)\left[\left(x+y\right)^2+4xy\right]\)

\(\Leftrightarrow\left(x+y\right)\left(x^2+6xy+y^2\right)\)

P/s tham khảo nha

Answer 2

\(x^3+7x^2y+7xy^2+y^3\)

\(\Leftrightarrow x^3+3x^2y+3xy^2+y^3+4x^2y+4xy^2\)

\(\Leftrightarrow\left(x+y\right)^3+4xy\left(x+y\right)\)

\(\Leftrightarrow\left(x+y\right)\left[\left(x+y\right)^2+4xy\right]\)

\(\Leftrightarrow\left(x+y\right)\left(x^2+6xy+y^2\right)\)

P/s tham khảo nha