Question Simplify the expression 16x2−80x+100 Evaluate (4x−10)2Use (a−b)2=a2−2ab+b2 to expand the expression (4x)2−2×4x×10+102Solution 16x2−80x+100 Show Solution Factor the expression 4(2x−5)2 Evaluate (4x−10)2Evaluate 16x2−80x+100Solution 4(2x−5)2 Show Solution Find the roots x=25Alternative Form x=2.5 Evaluate (4x−10)2To find the roots of the expression,set the expression equal to 0 (4x−10)2=0The only way a power can be 0 is when the base equals 0 4x−10=0Move the constant to the right-hand side and change its sign 4x=0+10Removing 0 doesn't change the value,so remove it from the expression 4x=10Divide both sides 44x=410Divide the numbers x=410Solution x=25Alternative Form x=2.5 Show Solution