How can you cancel out the 5y and 7y from:
4x^2 over 5y times 7y over 12x^4

  7

 ————

 15x2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (4 • (x2))      7y  

 —————————— • ————————

     5y       (22•3x4)

Step  2  :

              7y  

Simplify   ————————

           (22•3x4)

Equation at the end of step  2  :

 (4 • (x2))    7y

 —————————— • ————

     5y       12x4

Step  3  :

Equation at the end of step  3  :

 22x2    7y

 ———— • ————

  5y    12x4

Step  4  :

           22x2

Simplify   ————

            5y

Equation at the end of step  4  :

 4x2    7y

 ——— • ————

 5y    12x4

Step  5  :

Dividing exponential expressions :

5.1    x2 divided by x4 = x(2 - 4) = x(-2) = 1/x2

Canceling Out :

5.2    Canceling out y as it appears on both sides of the fraction line

Final result :

   7

 ————

 15x2

Step-by-step explanation:

the answer is 5/3x+7/5y+7

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are