Question

Phân tích đa thức thành nhân tử

(4x+5)^2-(x-2)^2

16x^4-y^4

27x^3-1

81x^2y^2-25

x^3-x

8x(x+y)-x-y

Answer 1

8x(x+y)-x-y=(8x-1)(x+y)

x^3 - x= x(x^2 -1)

81x^2y^2 -25= (9xy)^2 -5^2 = (9xy-5)(9xy+5)

27x^3 -1 = (3x)^3 -1 = (3x-1)(9x+3x+1)

Answer 2

\(81x^2y^2-25=\left(9xy-5\right)\left(9xy+5\right)\)

\(x^3-x=x\left(x-1\right)\left(x+1\right)\)

\(8x\left(x+y\right)-x-y=\left(x+y\right)\left(8x-1\right)\)