Question Simplify the expression 16x2−200x+625 Evaluate (4x−25)2Use (a−b)2=a2−2ab+b2 to expand the expression (4x)2−2×4x×25+252Solution 16x2−200x+625 Show Solution Find the roots x=425Alternative Form x=6.25 Evaluate (4x−25)2To find the roots of the expression,set the expression equal to 0 (4x−25)2=0The only way a power can be 0 is when the base equals 0 4x−25=0Move the constant to the right-hand side and change its sign 4x=0+25Removing 0 doesn't change the value,so remove it from the expression 4x=25Divide both sides 44x=425Solution x=425Alternative Form x=6.25 Show Solution