Question

how can we convert x^3 - 4x^2 + 4x into x(x - 2)^2​

Answer 1

Hey friend, here is your answer -

x^3 - 4x^2 + 4x

x (x^2 - 4x + 4) [By taking x as common]

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

x (x - 2)^2 [∵ a^2 -2ab + b^2 = (a - b)^2]

Hope it will help

Answer 2

${x}^{3} - 4 {x}^{2} + 4x \\ x( {x}^{2} - 4x + 4) \\ x( {x}^{2} - 2x - 2x + 4) \\ x(x(x - 2) - 2(x - 2)) \\ x(x - 2)(x - 2) \\ x {(x - 2)}^{2}$

if you got Happy please mark brainliest.