Question

[Nguyễn Hoàng Dũng]

a/ 25x²y - 10xy + 30xy²             b/ 16x² – 20x                   c/ 18x³ + 12x²  - 30x

d/ 14x(x + y) – 4y(x + y)           e/ 9x³y² + 12xy² + 15x²y²                     

f/ x(x – 3) – y(3 – x)                   g/ 5x(x + 4) – 2y(4 + x) 

giup mik voi

Answer 1

[Akai Haruma]

Bạn cần làm gì với những đa thức này?

Answer 2

[Nhan Thanh]

a) \(25x^2y-10xy+30xy^2=xy\left(25x+30y-10\right)\) 

b) \(16x^2-20x=4x\left(4x-5\right)\)

c) \(18x^3+12x^2-30x=x\left(18x^2+12x-30\right)=x\left(x-1\right)\left(18x+9\right)=96x\left(x-1\right)\left(x+\dfrac{5}{3}\right)\)

d) \(14x\left(x+y\right)-4y\left(x+y\right)=\left(14x-4y\right)\left(x+y\right)\)

e) \(9x^3y^2+12xy^2+15x^2y^2=3xy^2\left(3x^2+5x+4\right)\)

f) \(x\left(x-3\right)-y\left(3-x\right)=x\left(x-3\right)+y\left(x-3\right)=\left(x+y\right)\left(x-3\right)\)

g) \(5x\left(x+4\right)-2y\left(4+x\right)=\left(x+4\right)\left(5x-2y\right)\)