SOLUTION: I know this is the righ secton for my quesiton, but I don't think the area for putting your questions is good, this is factoring. how do you factor these using -difference of squar

Algebra ->  Square-cubic-other-roots -> SOLUTION: I know this is the righ secton for my quesiton, but I don't think the area for putting your questions is good, this is factoring. how do you factor these using -difference of squar      Log On


   

Question 108856: I know this is the righ secton for my quesiton, but I don't think the area for putting your questions is good, this is factoring. how do you factor these using -difference of squares - difference of cubes - sum of cubes -or split the middle
3y cubed - 192y
24X squared + 12 y sqaured
6my - 2ab + 2am - 6by
ac+ bd + bc + ad
x to the 6th -81
49g2 - 81hto the 4th
and
4ax - 14 bq - 35by - 10 ay
thank you so much
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
%283y%5E3+-+192y%29
3y%28y%5E2+-+64%29; factor out 3y, now you have the difference of squares
3y%28y+-+8%29%28y%2B8%29
:
24x%5E2+%2B+12y%5E2
12%282x%5E2+%2B+y%5E2%29; that's about all you can do with it
:
6my - 2ab + 2am - 6by
:
6my - 6by + 2am - 2ab; regroup
:
6y(m - b) + 2a(m - b); factored out 6y and 2a
:
(m - b) (6y + 2a); factored out (m-b)
:
:
ac+ bd + bc + ad
:
ac + ad + bd + bc; regroup
:
a(c+d) + b(d+c); factored out a and b
Same as
a(c+d) + b(c+d);
:
(c + d)(a + b); factored out (c+d)
:
%28x%5E6+-+81%29
Difference of squares:
%28x%5E3+-+9%29%28x%5E3+%2B+9%29
:
:
%2849g%5E2+-+81h%5E4%29
Difference of squares
%287g+-+9h%5E2%29%287g+%2B+9h%5E2%29
:
4ax - 14 bq - 35by - 10 ay
:
4ax - 10ay - 14bq - 35by; regroup
:
2a(2x - 5y) - 7b(2q + 5y); change the sign inside the brackets
:
Sorry, I hit the wrong button and sent this prematurely.