Question Simplify the expression 8a3−36a2+54a−27 Evaluate (2a−3)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression (2a)3−3(2a)2×3+3×2a×32−33Solution 8a3−36a2+54a−27 Show Solution Find the roots a=23Alternative Form a=1.5 Evaluate (2a−3)3To find the roots of the expression,set the expression equal to 0 (2a−3)3=0The only way a power can be 0 is when the base equals 0 2a−3=0Move the constant to the right-hand side and change its sign 2a=0+3Removing 0 doesn't change the value,so remove it from the expression 2a=3Divide both sides 22a=23Solution a=23Alternative Form a=1.5 Show Solution
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