Question Simplify the expression 27−27z+9z2−z3 Evaluate (3−z)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression 33−3×32z+3×3z2−z3Solution 27−27z+9z2−z3 Show Solution Find the roots z=3 Evaluate (3−z)3To find the roots of the expression,set the expression equal to 0 (3−z)3=0The only way a power can be 0 is when the base equals 0 3−z=0Move the constant to the right-hand side and change its sign −z=0−3Removing 0 doesn't change the value,so remove it from the expression −z=−3Solution z=3 Show Solution
Algebra
Calculus
Trigonometry
Matrix Algebra Calculus Trigonometry Matrix