Question

[Kai Parker]

Phân tích đa thức thành nhân tử

1) (x^2-25)^2-(x-5)^2 

2) ( 4x^2-25)^2 - 9(2x-5)^2 

Answer 1

[Hoàng Kim Oanh]

1/\(\left(x^2-25\right)^2-\left(x-5\right)^2\)

<=>\(\left[\left(x-5\right)\left(x+5\right)\right]^2-\left(x-5\right)^2\)

<=>\(\left(x-5\right)^2\left[\left(x+5\right)^2-1\right]\)

2/\(\left(4x^2-25\right)^2-9\left(2x-5\right)^2\)

<=>\(\left[\left(2x-5\right)\left(2x+5\right)\right]^2-9\left(2x-5\right)^2\)

<=>\(\left(2x-5\right)\left[\left(2x+5\right)^2-9\right]\)

 #hoctot<3#