Question Simplify the expression 10c3−10c Evaluate 2c3×5−10cSolution 10c3−10c Show Solution Factor the expression 10c(c−1)(c+1) Evaluate 2c3×5−10cEvaluate 10c3−10cFactor out 10c from the expression 10c(c2−1)Solution More Steps Evaluate c2−1Rewrite the expression in exponential form c2−12Use a2−b2=(a−b)(a+b) to factor the expression (c−1)(c+1) 10c(c−1)(c+1) Show Solution Find the roots c1=−1,c2=0,c3=1 Evaluate 2c3×5−10cTo find the roots of the expression,set the expression equal to 0 2c3×5−10c=0Multiply the terms 10c3−10c=0Factor the expression 10c(c2−1)=0Divide both sides c(c2−1)=0Separate the equation into 2 possible cases c=0c2−1=0Solve the equation More Steps Evaluate c2−1=0Move the constant to the right-hand side and change its sign c2=0+1Removing 0 doesn't change the value,so remove it from the expression c2=1Take the root of both sides of the equation and remember to use both positive and negative roots c=±1Simplify the expression c=±1Separate the equation into 2 possible cases c=1c=−1 c=0c=1c=−1Solution c1=−1,c2=0,c3=1 Show Solution