Question Simplify the expression 16x2−8x3+x4 Evaluate (4x−x2)2Use (a−b)2=a2−2ab+b2 to expand the expression (4x)2−2×4x×x2+(x2)2Solution 16x2−8x3+x4 Show Solution Factor the expression x2(4−x)2 Evaluate (4x−x2)2Factor the expression More Steps Evaluate 4x−x2Rewrite the expression x×4−x×xFactor out x from the expression x(4−x) (x(4−x))2Solution x2(4−x)2 Show Solution Find the roots x1=0,x2=4 Evaluate (4x−x2)2To find the roots of the expression,set the expression equal to 0 (4x−x2)2=0The only way a power can be 0 is when the base equals 0 4x−x2=0Factor the expression More Steps Evaluate 4x−x2Rewrite the expression x×4−x×xFactor out x from the expression x(4−x) x(4−x)=0When the product of factors equals 0,at least one factor is 0 x=04−x=0Solve the equation for x More Steps Evaluate 4−x=0Move the constant to the right-hand side and change its sign −x=0−4Removing 0 doesn't change the value,so remove it from the expression −x=−4Change the signs on both sides of the equation x=4 x=0x=4Solution x1=0,x2=4 Show Solution