1. ## Need Help on Quadratic Equations

My problem says :

Factor each polynomial:

x^2+2xy+y^2

2. Originally Posted by mrking
My problem says :

Factor each polynomial:

x^2+2xy+y^2
$\displaystyle (x+y)(x+y)$

3. can you show the work please because I have 3 or 4 more almost exactly like this

4. Originally Posted by mrking
can you show the work please because I have 3 or 4 more almost exactly like this
this is a basic factorization ... you're expected to be familiar with the pattern $\displaystyle (a+b)^2 = a^2 + 2ab + b^2$

5. the only equation that my teacher has given me is x^2+bx+c=0. Is this similar?

6. Originally Posted by mrking
the only equation that my teacher has given me is x^2+bx+c=0. Is this similar?

7. I have another problem that says:

a^2+4ab+4b^2

The solution that I came to is:

(a-2b)(a-2b)

is this correct?

8. As skeeter has shown

$\displaystyle (x+y)^2 = x^2+2xy+y^2$

and

$\displaystyle (x-y)^2 = x^2-2xy+y^2$

$\displaystyle a^2+4ab+4b^2 = a^2+2\times2ab+(2b)^2 = (a+2b)(a+2b) = (a+2b)^2$