Question Simplify the expression 27x3−27x2+9x−1 Evaluate (3x−1)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression (3x)3−3(3x)2×1+3×3x×12−13Solution 27x3−27x2+9x−1 Show Solution Find the roots x=31Alternative Form x=0.3˙ Evaluate (3x−1)3To find the roots of the expression,set the expression equal to 0 (3x−1)3=0The only way a power can be 0 is when the base equals 0 3x−1=0Move the constant to the right-hand side and change its sign 3x=0+1Removing 0 doesn't change the value,so remove it from the expression 3x=1Divide both sides 33x=31Solution x=31Alternative Form x=0.3˙ Show Solution
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