Question

How to factorise x^2+2xy+y^2 ?? Thanks :)

Answer 1

do you know how to factor:\[a^2+2ab+b^2\]

Answer 2

your equation is of that form

Answer 3

you can write:\[a^2+2ab+b^2\]as:\[(a+b)(a+b)\]

Answer 4

can you apply that to your equation?

Answer 5

@Brianna98 ?

Answer 6

well in your case its:\[x^2+2xy+y^2\]

Answer 7

(the a and b is replaced by x an y)

Answer 8

so you can factor it as:
\[(x+y)(x+y)\]

Answer 9

did u even understand what i said?

Answer 10

@Brianna98

Answer 11

and obscure method would be to split the middle term up

x^2+2xy+y^2
=x^2+xy + xy+y^2

then factor two terms at a time

=x(x+y) + y(x+y)
=

Answer 12

an*

Answer 13

thats great too @UnkleRhaukus

Answer 14

@mihirb Thank you so much!! Makes a lot more sense now :)

Answer 15

And thank you @UnkleRhaukus :)