Question Simplify the expression −4x2+200x−2500 Evaluate −4(x−25)2Expand the expression More Steps Evaluate (x−25)2Use (a−b)2=a2−2ab+b2 to expand the expression x2−2x×25+252Calculate x2−50x+625 −4(x2−50x+625)Apply the distributive property −4x2−(−4×50x)−4×625Multiply the numbers −4x2−(−200x)−4×625Multiply the numbers −4x2−(−200x)−2500Solution −4x2+200x−2500 Show Solution Find the roots x=25 Evaluate −4(x−25)2To find the roots of the expression,set the expression equal to 0 −4(x−25)2=0Change the sign 4(x−25)2=0Rewrite the expression (x−25)2=0The only way a power can be 0 is when the base equals 0 x−25=0Move the constant to the right-hand side and change its sign x=0+25Solution x=25 Show Solution
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