Question

How do you factor `a^2-x^2+10x-25`?

Answer 1

`(a-x+5)(a+x-5)`

Explanation:

`a^2-x^2+10x-25=a^2-(x^2-10x+25)`

`x^2-10x+25=(x-5)^2`

`a^2-(x-5)^2`

`m^2-n^2=(m-n)(m+n)`

`(a-(x-5))(a+(x-5))`

`(a-x+5)(a+x-5)`