SOLUTION: 9a^4-b^2=? 25a^2-30a^2+9=? 36x^2+60x+25=? factor x^10-y^2=? x^2-9=? 4n^2+28n+49=? 36y^2-1=?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 9a^4-b^2=? 25a^2-30a^2+9=? 36x^2+60x+25=? factor x^10-y^2=? x^2-9=? 4n^2+28n+49=? 36y^2-1=?       Log On


   

Question 676943: 9a^4-b^2=?
25a^2-30a^2+9=?
36x^2+60x+25=?
factor x^10-y^2=?
x^2-9=?
4n^2+28n+49=?
36y^2-1=?

Found 2 solutions by Alan3354, ReadingBoosters:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
9a^4-b^2
It's a difference of 2 squares
a%5E2+-+b%5E2+=+%28a-b%29%2A%28a%2Bb%29
--------------------
25a^2-30a^2+9
The 1st and last terms are squares.
Try that first.
----------------------
36x^2+60x+25=?
The 1st and last terms are squares.
Try that first.
---------------------
factor x^10-y^2=?
Same as #1
------------------
x^2-9
Same as #1
-----------------
4n^2+28n+49
The 1st and last terms are squares.
Try that first.
--------------------
36y^2-1=?
Same as #1

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
1)
9a%5E4-b%5E2 difference of squares
%283a%5E2-b%29%283a%5E2%2Bb%29
...
2)
25a%5E2+-+30a%5E2+%2B+9
combine like terms
-5a%5E2+%2B+9
...
3)
36x%5E2+%2B+60x+%2B+25
(6x+5)(6x+5)
...
4)
x%5E10-y%5E2
%28x%5E5-y%29%28x%5E5%2By%29
...
5)
x%5E2-9
(x-3)(x+3)
...
6)
4n%5E2+%2B+28n+%2B+49
(2n+7)(2n+7)
...
7)
36y%5E2-1
(6y+1)(6y-1)
.....................
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