Question

phân tích đa thức thành nhân tử x^2 - 25y^2 - 2x + 1

Answer 1

\(x^2-25y^2-2x+1\\ =\left(x^2-2x+1\right)-25y^2\\ =\left(x-1\right)^2-25y^2\\ =\left(x-1\right)^2-\left(5y\right)^2\\ =\left[\left(x-1\right)-5y\right]\left[\left(x-1\right)+5y\right]\\ =\left(x-5y-1\right)\left(x+5y-1\right)\)

Answer 2

`x^2-25y^2 - 2x+1`

`= (x^2 - 2x+1)-25y^2`

`= (x - 1)^2 - (5y)^2`

`= (x-1-5y)(x-1+5y)`