Question

Factoring Trinomials

25a^2+20ab+4b^2
If you don't understand I can send you a picture of the problem. :)

Answer 1

25 a² + 20 ab + 4 b²

for formula
`a^x+bx^ky^k+cy ^(2k )` find u,v such that: u.v = a

and u+v = b then group according to
`(ax ^(2k) +ux^ky^k)+(vx^ky^k+cy ^(2k) )`

=
`(25a^2+10ab)+(10ab+4b^2)`

factor out 5a from :
`25a^2+10ab : 5a(2b+5a)`

factor out 2b from :
`10ab+4b^2: 2b(2b+5a)`

=
`5a(2b+5a) + 2b(2b+5a)`

factor out :
`(5a+2b)`

=
`(5a+2b)(5a+2b)`

Refine:


`(2b+5a)^2`

hope this helps!.