Question

Phân tích các đa thức sau thành nhân tử:

a,20m³n²-15m⁴n²+25m⁵n²

b, 4x²+6x+9

c,2x⁴-32

d,8x³+60x²y+150xy²+125y³

Answer 1

a) \(20m^3n^2-15m^4n^2+25m^5n^2\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ = 5m^3n^2\left(4-3m+5m^2\right)\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

b) \(4x^2+6x-9\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =\left(2x-3\right)^2\)

c)\(2x^4-32\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =2\left(x^4-2^4\right)\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =2\left(x-2\right)\left(x^3-2^3\right)\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =2\left(x-2\right)\left(x-2\right)\left(x^2+2x+4\right)\)

d)\(8x^3+60x^2y+150xy^2+125y^3\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ =\left(2x+5y\right)^3\)

Answer 2

Câu c mik không chắc lắm