Question Simplify the expression 8x3−60x2+150x−125 Evaluate (2x−5)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression (2x)3−3(2x)2×5+3×2x×52−53Solution 8x3−60x2+150x−125 Show Solution Find the roots x=25Alternative Form x=2.5 Evaluate (2x−5)3To find the roots of the expression,set the expression equal to 0 (2x−5)3=0The only way a power can be 0 is when the base equals 0 2x−5=0Move the constant to the right-hand side and change its sign 2x=0+5Removing 0 doesn't change the value,so remove it from the expression 2x=5Divide both sides 22x=25Solution x=25Alternative Form x=2.5 Show Solution
Algebra
Calculus
Trigonometry
Matrix Algebra Calculus Trigonometry Matrix