Question

Phân tích đa thức sau thành nhân tử :

1) 2x^2 - 7xy + 3y^2 + 5xz - 5yz + 2z^2

Answer 1

câu này phải ko

Answer 2

\(2x^2-7xy+3y^2+5xz-5yz+2z^2=\left(2x^2+2z^2\right)+\left(5xz-5yz\right)-\left(7xy-3y^2\right)\)

\(=2\left(x^2+z^2\right)+5z\left(x-y\right)-y\left(7x-3y\right)\)

Answer 3

\(2x^2-7xy+3y^2+5xz-5yz+2z^2\)

\(=\left(2x^2+4xz-6xy\right)-\left(xy+2yz-3y^2\right)+\left(2z^2+xz-3yz\right)\)

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

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

Answer 4

\(2x^2-7xy+3xy+3y^2+5xz-5xy\)

\(=>\left(2x^2+4xy-6xy\right)-\left(xy+2xy\right)+\left(2^2+xy\right)\)

\(=>\left(2x-2y+2z\right)-y\left(x-3y+2x\right)+z\left(x-2y+2z\right)\)

\(=\left(2x-y+z\right)\left(x-2y+2z\right)\)

~Hok tốt~