if you walk 1.5 hours at 3mph, how fast shoukd you run in the next 0.5 hours to have the average speed of 4mph

avg speed= total distance / total time

total time= 0.5+1.5= 2 h

d1= v1 t1=1.5×3=4.5

d2=v2t2

v2=x...let

d2=0.5x

atq4.5+0.5x/2= 4

4.5+0.5x=8

x= v2=7mph

7 mph

Step-by-step explanation:

2x • (x^3y^3 + 2)

Step-by-step explanation:

4x +  (2x3y • y) • x) • y)

Pulling out like terms :

3.1     Pull out like factors :

  2x4y3 + 4x  =   2x • (x3y3 + 2)

Trying to factor as a Sum of Cubes :

3.2      Factoring:  x3y3 + 2

Theory : A sum of two perfect cubes,  a3 + b3 can be factored into  :

            (a+b) • (a2-ab+b2)

Proof  : (a+b) • (a2-ab+b2) =

   a3-a2b+ab2+ba2-b2a+b3 =

   a3+(a2b-ba2)+(ab2-b2a)+b3=

   a3+0+0+b3=

   a3+b3

Check :  2  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cube

Final result :

 2x • (x^3y^3 + 2)

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