• May 30th 2007, 12:01 AM
Cornelius
9+10ab-a^2-25b^2
• May 30th 2007, 02:12 AM
janvdl
Quote:

Originally Posted by Cornelius
9+10ab-a^2-25b^2

Are you sure this shouldnt be an equation?
• May 30th 2007, 03:57 AM
CaptainBlack
Quote:

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
• May 30th 2007, 06:40 AM
topsquark
Quote:

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