9+10ab-a^2-25b^2

2. Originally Posted by Cornelius
9+10ab-a^2-25b^2
Are you sure this shouldnt be an equation?

3. Originally Posted by Cornelius
9+10ab-a^2-25b^2
You can't "solve" an expression like this, one could simplify an expression but
this is already as simplified as it's going to get.

Solve is what one can do to an equation and that needs an "=" sign
some where.

RonL

4. Originally Posted by Cornelius
9+10ab-a^2-25b^2
Are you supposed to factor this?

$9 + (-a^2 + 10ab - 25b^2)$

$= 9 - (a^2 -10ab + 25b^2)$

$= 9 - (a - 5b)^2$

$= 3^2 - (a - 5b)^2$ <-- This is the difference of two perfect squares

$= [ 3 + (a - 5b) ] [ 3 - (a - 5b) ]$

$= (3 + a - 5b)(3 - a + 5b)$

-Dan