Homework Help

How can i factor this? 49-x^2-6xy-9y^2 i tried to group them in different ways but i...

chipal08's profile pic

Posted via web

dislike 1 like

How can i factor this? 49-x^2-6xy-9y^2 

i tried to group them in different ways but i still can't get the answer which is -(x+3y+7)(x+3y-7) i think i've done something wrong but can't find out what it is so if anyone can please help coz i've been stuck in this problem for 25 minutes and i still have to do 12 problems thank you :D


1 Answer | Add Yours

embizze's profile pic

Posted (Answer #1)

dislike 2 like

Factor `49-x^2-6xy-9y^2` :

Write as `49-(x^2+6xy+9y^2)`

The terms in the parantheses form a perfect square trinomial.

`=49-[(x+3y)^2]` But this is the difference of two squares:


`=(7+x+3y)(7-x-3y)` Factoring a (-1) out of the second factor gets the answer in the form you were seeking:


Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes