Question Simplify the expression x4−4x3+4x2 Evaluate (x2−2x×1)2Multiply the terms (x2−2x)2Use (a−b)2=a2−2ab+b2 to expand the expression (x2)2−2x2×2x+(2x)2Solution x4−4x3+4x2 Show Solution Factor the expression x2(x−2)2 Evaluate (x2−2x×1)2Multiply the terms (x2−2x)2Factor the expression More Steps Evaluate x2−2xRewrite the expression x×x−x×2Factor out x from the expression x(x−2) (x(x−2))2Solution x2(x−2)2 Show Solution Find the roots x1=0,x2=2 Evaluate (x2−2x×1)2To find the roots of the expression,set the expression equal to 0 (x2−2x×1)2=0Multiply the terms (x2−2x)2=0The only way a power can be 0 is when the base equals 0 x2−2x=0Factor the expression More Steps Evaluate x2−2xRewrite the expression x×x−x×2Factor out x from the expression x(x−2) x(x−2)=0When the product of factors equals 0,at least one factor is 0 x=0x−2=0Solve the equation for x More Steps Evaluate x−2=0Move the constant to the right-hand side and change its sign x=0+2Removing 0 doesn't change the value,so remove it from the expression x=2 x=0x=2Solution x1=0,x2=2 Show Solution