Question Simplify the expression 1−6t+12t2−8t3 Evaluate (1−2t)3Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression 13−3×12×2t+3×1×(2t)2−(2t)3Solution 1−6t+12t2−8t3 Show Solution Find the roots t=21Alternative Form t=0.5 Evaluate (1−2t)3To find the roots of the expression,set the expression equal to 0 (1−2t)3=0The only way a power can be 0 is when the base equals 0 1−2t=0Move the constant to the right-hand side and change its sign −2t=0−1Removing 0 doesn't change the value,so remove it from the expression −2t=−1Change the signs on both sides of the equation 2t=1Divide both sides 22t=21Solution t=21Alternative Form t=0.5 Show Solution
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