Question Simplify the expression 4x2−4x3+x4 Evaluate (2x−x2)2Use (a−b)2=a2−2ab+b2 to expand the expression (2x)2−2×2x×x2+(x2)2Solution 4x2−4x3+x4 Show Solution Factor the expression x2(2−x)2 Evaluate (2x−x2)2Factor the expression More Steps Evaluate 2x−x2Rewrite the expression x×2−x×xFactor out x from the expression x(2−x) (x(2−x))2Solution x2(2−x)2 Show Solution Find the roots x1=0,x2=2 Evaluate (2x−x2)2To find the roots of the expression,set the expression equal to 0 (2x−x2)2=0The only way a power can be 0 is when the base equals 0 2x−x2=0Factor the expression More Steps Evaluate 2x−x2Rewrite the expression x×2−x×xFactor out x from the expression x(2−x) x(2−x)=0When the product of factors equals 0,at least one factor is 0 x=02−x=0Solve the equation for x More Steps Evaluate 2−x=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=−2Change the signs on both sides of the equation x=2 x=0x=2Solution x1=0,x2=2 Show Solution