Question 27126
3x^2 + 17x + 10 
You know both signs in the parenthesis are going to +, because the second sign is a +;
(3x+_)(x+_)
Now what are the factors of 10: 1,10; 2,5;
We will use 2,5;
(3x+2)(x+5)
5y^8 - 125 
First you look to see if you can factor out anything? yes; 5
5({{{y^8}}}-25)
You know the signs in the parethesis are - & +, because of the -25;
5({{{y^4-5)(y^4+5}}})
a^2- 2ab - 15b^2 
The signs in the parethesis are what? - & +
(a+_)(a-_)
What are the factors of 15, but when subtracted = 2? 3,5
(a+3)(a-2)
4c^2 - 12c + 9 
(2c-_)(2c-_)
(2c-3)(2c-3)
p^4 - 1 
({{{p^2-1)(p^2+1)}}}
6y^2 - 54 
6{{{(y^2-9)}}}
6(y-3)(y+3)
x^2 + 10x + 21 
(x+7)(x+3)
a^2 - 10ab + 3b^2 
(a+3b)(a-5b)
5x^2 - 10^x 
5x(x-2)
x^2+ 12xy + 35y^2
(x+7)(x+5)
=)