Question

[sanji]

phân tích đa thức thÀNH NHÂN tử : 

a , \(xy+yz-5x-5z\)

b , \(x^2+2xy+y^2-9x^2\)

Answer 1

[Nguyễn Không Tên]

\(a.\left(xy+yz\right)-\left(5x+5z\right)\)
\(=y\left(x+z\right)-5\left(x+z\right)\)
\(=\left(x+z\right)\left(y-5\right)\)
\(b.\left(x^2+2xy+y^2\right)-9x^2\)
\(=\left(x+y\right)^2-9x^2\)
\(=\left(x+y-3x\right).\left(x+y+3x\right)\)
\(=\left(y-2x\right).\left(y+4x\right)\)

Answer 2

[Unknown_Hacker]

a. Đề=\(y\left(x+z\right)-5\left(x+z\right)\)\(=\left(x+z\right)\left(y-5\right)\)

b. Đề=\(\left(x+y\right)^2-\left(3x\right)^2\)\(=\left(x+y-3x\right)\left(x+y+3x\right)\)\(=\left(y-2x\right)\left(y+4x\right)\)