Question

Phân tích :

a) 7x³ - 14x⁴y + 21x⁵y²

b) x² - xy + 11x - 11y

c) 4x² - 36

d) x² - 4y² + 6x + 9

e) x²y + xy + xz + z

f) x² - 6x + 6y - y²

Answer 1

a: \(=7x^3\left(1-2xy+3x^2y^2\right)\)

b: \(=x\left(x-y\right)+11\left(x-y\right)=\left(x-y\right)\left(x+11\right)\)

c: \(=4\left(x-3\right)\left(x+3\right)\)

d: \(=\left(x+3\right)^2-4y^2=\left(x+3+2y\right)\left(x+3-2y\right)\)

e: \(=xy\left(x+1\right)+z\left(x+1\right)=\left(x+1\right)\left(xy+z\right)\)

f: \(=\left(x-y\right)\left(x+y\right)-6\left(x-y\right)=\left(x-y\right)\left(x+y-6\right)\)