Question Simplify the expression 27a6−54a5+36a4−8a3 Evaluate (3a2−2a)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression (3a2)3−3(3a2)2×2a+3×3a2(2a)2−(2a)3Solution 27a6−54a5+36a4−8a3 Show Solution Factor the expression a3(3a−2)3 Evaluate (3a2−2a)3Factor the expression More Steps Evaluate 3a2−2aRewrite the expression a×3a−a×2Factor out a from the expression a(3a−2) (a(3a−2))3Solution a3(3a−2)3 Show Solution Find the roots a1=0,a2=32Alternative Form a1=0,a2=0.6˙ Evaluate (3a2−2a)3To find the roots of the expression,set the expression equal to 0 (3a2−2a)3=0The only way a power can be 0 is when the base equals 0 3a2−2a=0Factor the expression More Steps Evaluate 3a2−2aRewrite the expression a×3a−a×2Factor out a from the expression a(3a−2) a(3a−2)=0When the product of factors equals 0,at least one factor is 0 a=03a−2=0Solve the equation for a More Steps Evaluate 3a−2=0Move the constant to the right-hand side and change its sign 3a=0+2Removing 0 doesn't change the value,so remove it from the expression 3a=2Divide both sides 33a=32Divide the numbers a=32 a=0a=32Solution a1=0,a2=32Alternative Form a1=0,a2=0.6˙ Show Solution