Question Simplify the expression x4−8x2+16 Evaluate (x2−4)2Use (a−b)2=a2−2ab+b2 to expand the expression (x2)2−2x2×4+42Solution x4−8x2+16 Show Solution Factor the expression (x−2)2(x+2)2 Evaluate (x2−4)2Use a2−b2=(a−b)(a+b) to factor the expression ((x−2)(x+2))2Solution (x−2)2(x+2)2 Show Solution Find the roots x1=−2,x2=2 Evaluate (x2−4)2To find the roots of the expression,set the expression equal to 0 (x2−4)2=0The only way a power can be 0 is when the base equals 0 x2−4=0Move the constant to the right-hand side and change its sign x2=0+4Removing 0 doesn't change the value,so remove it from the expression x2=4Take the root of both sides of the equation and remember to use both positive and negative roots x=±4Simplify the expression More Steps Evaluate 4Write the number in exponential form with the base of 2 22Reduce the index of the radical and exponent with 2 2 x=±2Separate the equation into 2 possible cases x=2x=−2Solution x1=−2,x2=2 Show Solution