Question Factor the expression Factor x(1−x)(1+x) Evaluate x−x3Factor out x from the expression x(1−x2)Solution More Steps Evaluate 1−x2Rewrite the expression in exponential form 12−x2Use a2−b2=(a−b)(a+b) to factor the expression (1−x)(1+x) x(1−x)(1+x) Show Solution Find the roots Find the roots of the algebra expression x1=−1,x2=0,x3=1 Evaluate x−x3To find the roots of the expression,set the expression equal to 0 x−x3=0Factor the expression x(1−x2)=0Separate the equation into 2 possible cases x=01−x2=0Solve the equation More Steps Evaluate 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=−1 x=0x=1x=−1Solution x1=−1,x2=0,x3=1 Show Solution