Respuesta :

Answer: (2t+2) / 2 x s³

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The quotient means is a division.

The sum 2t and 2 = 2t+2 is the numerator

Twice the cube of s = 2 (s∧3) is the denominator. Twice means that we have to multiply by 2.,and the cube  of s means s to the power of 3.

Mathematically speaking:

2t+2 / 2 (s³)

Feel free to ask for more if needed or if you did not understand something.

The expression is equivalent to the phrase the quotient of the sum 2t and 2 and twice the cube of s is [tex]\dfrac{t+1}{s^3}[/tex].

Given,

The sum of [tex]2t[/tex] and [tex]2[/tex] is [tex](2t+2)[/tex].

The twice of the cube of s is [tex]2s^3[/tex].

We have to find the quotient of [tex](2t+2)[/tex] divided by [tex]2s^3[/tex].

The quotient of [tex](2t+2)[/tex]  divided by [tex]2s^3[/tex] will be,

[tex]\dfrac{2t+2}{2s^3}[/tex]

Taking 2 common from the numerator and denominator and cancel out from both numerator and denominator we get,

[tex]\dfrac{t+1}{s^3}[/tex].

Hence the expression is  [tex]\dfrac{t+1}{s^3}[/tex].

For more details on Remainder theorem follow the link:

https://brainly.com/question/4515216