Question

Phân tích các đa thức sau thành nhân tử:

a) x³ - 2x² + 2x -13 

b) x²y + xy + x + 1 

c) ax + by + ay + bx 

d) x² -(a+b)x + ab 

e) x²y + xy² - x - y

f) ax^2 + ay - bx² - by 

Answer 1

a)  bạn ktra lại đề

b) \(x^2y+xy+x+1=xy\left(x+1\right)+\left(x+1\right)=\left(xy+1\right)\left(x+1\right)\)

c) \(ax+by+ay+bx=a\left(x+y\right)+b\left(x+y\right)=\left(a+b\right)\left(x+y\right)\)

d)  \(x^2-\left(a+b\right)x+ab=x^2-ax-bx+ab=x\left(x-a\right)-b\left(x-a\right)=\left(x-a\right)\left(x-b\right)\)

e)  \(x^2y+xy^2-x-y=xy\left(x+y\right)-\left(x+y\right)=\left(xy-1\right)\left(x+y\right)\)

f)  \(ax ^2+ay-bx^2-by=x^2\left(a-b\right)+y\left(a-b\right)=\left(a-b\right)\left(x^2+y\right)\)

Answer 2

\(x^2y+xy+x+1\)

\(=xy\left(x+1\right)+\left(x+1\right)\)

\(=\left(x+1\right)\left(xy+1\right)\)

hk tốt

^^