Question Simplify the expression x4−2x2+1 Evaluate (x2−1)2Use (a−b)2=a2−2ab+b2 to expand the expression (x2)2−2x2×1+12Solution x4−2x2+1 Show Solution Factor the expression (x−1)2(x+1)2 Evaluate (x2−1)2Use a2−b2=(a−b)(a+b) to factor the expression ((x−1)(x+1))2Solution (x−1)2(x+1)2 Show Solution Find the roots x1=−1,x2=1 Evaluate (x2−1)2To find the roots of the expression,set the expression equal to 0 (x2−1)2=0The only way a power can be 0 is when the base equals 0 x2−1=0Move the constant to the right-hand side and change its sign x2=0+1Removing 0 doesn't change the value,so remove it from the expression x2=1Take the root of both sides of the equation and remember to use both positive and negative roots x=±1Simplify the expression x=±1Separate the equation into 2 possible cases x=1x=−1Solution x1=−1,x2=1 Show Solution