Factor y3 + 512 completely

(B=8)(y−8)⋅(y^2 +8y+64)

Step-by-step explanation:  

Changes made to your input should not affect the solution:

(1): "y3"   was replaced by   "y^3".

Factoring:  y3-512

Theory : A difference 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 :  512  is the cube of   8

Check :  y3 is the cube of   y1

Factorization is :

            (y - 8)  •  (y2 + 8y + 64)

Factoring  y2 + 8y + 64

The first term is,  y2  its coefficient is  1 .

The middle term is,  +8y  its coefficient is  8 .

The last term, "the constant", is  +64

Step-1 : Multiply the coefficient of the first term by the constant   1 • 64 = 64

Step-2 : Find two factors of  64  whose sum equals the coefficient of the middle term, which is   8 .

     -64    +    -1    =    -65

     -32    +    -2    =    -34

     -16    +    -4    =    -20

     -8    +    -8    =    -16

     -4    +    -16    =    -20

     -2    +    -32    =    -34

     -1    +    -64    =    -65

     1    +    64    =    65

     2    +    32    =    34

     4    +    16    =    20

     8    +    8    =    16

     16    +    4    =    20

     32    +    2    =    34

     64    +    1    =    65

Hope that helps!!

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w