Question Simplify the expression 1−3x2+3x4−x6 Evaluate (1−x2)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression 13−3×12×x2+3×1×(x2)2−(x2)3Solution 1−3x2+3x4−x6 Show Solution Factor the expression (1−x)3(1+x)3 Evaluate (1−x2)3Use a2−b2=(a−b)(a+b) to factor the expression ((1−x)(1+x))3Solution (1−x)3(1+x)3 Show Solution Find the roots x1=−1,x2=1 Evaluate (1−x2)3To find the roots of the expression,set the expression equal to 0 (1−x2)3=0The only way a power can be 0 is when the base equals 0 1−x2=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=−1Change the signs on both sides of the equation 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