Question Simplify the expression q3−q Evaluate q3−q×1Solution q3−q Show Solution Factor the expression q(q−1)(q+1) Evaluate q3−q×1Any expression multiplied by 1 remains the same q3−qFactor out q from the expression q(q2−1)Solution More Steps Evaluate q2−1Rewrite the expression in exponential form q2−12Use a2−b2=(a−b)(a+b) to factor the expression (q−1)(q+1) q(q−1)(q+1) Show Solution Find the roots q1=−1,q2=0,q3=1 Evaluate q3−q×1To find the roots of the expression,set the expression equal to 0 q3−q×1=0Any expression multiplied by 1 remains the same q3−q=0Factor the expression q(q2−1)=0Separate the equation into 2 possible cases q=0q2−1=0Solve the equation More Steps Evaluate q2−1=0Move the constant to the right-hand side and change its sign q2=0+1Removing 0 doesn't change the value,so remove it from the expression q2=1Take the root of both sides of the equation and remember to use both positive and negative roots q=±1Simplify the expression q=±1Separate the equation into 2 possible cases q=1q=−1 q=0q=1q=−1Solution q1=−1,q2=0,q3=1 Show Solution