(x - 3)^2 = 0
(x - 3)(x - 3) = 0
x^2 - 3x - 3x + 9 = 0
x^2 - 6x + 9 = 0 <===
3 times the 6th power of 10
Lets step by step convert the word form to an expression
You have to multiply 3 by the 6th power of 10, so
3 * 6th power of 10
In the 6th power of 10, 10 is the base and it is to the power of 6, so it can be reworded to 10 to the 6th power
or 
We have to multiply it by 3
So the written expression is
3 * 
255 l ------ 340km
x l -------- 100km
100*255=340x
25500=340x
x=75 litres
Expand the expression as
(<em>s</em> + 1)³/<em>s</em> ⁵ = (<em>s</em> ³ + 3<em>s</em> ² + 3<em>s</em> + 1)/<em>s</em> ⁵
… = 1/<em>s</em> ² + 3/<em>s</em> ³ + 3/<em>s</em> ⁴ + 1/<em>s</em> ⁵
Then taking the inverse transform, you get
LT⁻¹ [1/<em>s</em> ² + 3/<em>s</em> ³ + 3/<em>s</em> ⁴ + 1/<em>s</em> ⁵]
… = LT⁻¹ [1/<em>s</em> ²] + LT⁻¹ [3/<em>s</em> ³] + LT⁻¹ [3/<em>s</em> ⁴] + LT⁻¹ [1/<em>s</em> ⁵]
… = LT⁻¹ [1!/<em>s</em> ²] + 3/2 LT⁻¹ [2!/<em>s</em> ³] + 1/2 LT⁻¹ [3!/<em>s</em> ⁴] + 1/24 LT⁻¹ [4!/<em>s</em> ⁵]
… = <em>t</em> + 3/2 <em>t</em> ² + 1/2 <em>t</em> ³ + 1/24 <em>t</em> ⁴