Question (t2×1−3t)2−32t Simplify the expression t4−6t3+9t2−32t Evaluate (t2×1−3t)2−32tAny expression multiplied by 1 remains the same (t2−3t)2−32tSolution t4−6t3+9t2−32t Show Solution Factor the expression (t3−6t2+9t−32)t Evaluate (t2×1−3t)2−32tAny expression multiplied by 1 remains the same (t2−3t)2−32tRewrite the expression (t−3)2t×t−32tFactor out t from the expression ((t−3)2t−32)tSolution (t3−6t2+9t−32)t Show Solution Find the roots t1=0,t2=2+315+414+315−414Calculate t1=0,t2≈5.428029 Evaluate (t2×1−3t)2−32tTo find the roots of the expression,set the expression equal to 0 (t2×1−3t)2−32t=0Any expression multiplied by 1 remains the same (t2−3t)2−32t=0Calculate t4−6t3+9t2−32t=0Factor the expression t(t3−6t2+9t−32)=0Separate the equation into 2 possible cases t=0t3−6t2+9t−32=0Solve the equation t=0t=2+315+414+315−414Solution t1=0,t2=2+315+414+315−414Calculate t1=0,t2≈5.428029 Show Solution