Answer:
2[tex]x^{2}[/tex]+2[tex]y^{2}[/tex]
Step-by-step explanation:
[tex](x+y)^{2}[/tex] + ([tex]x^{2}[/tex] -2xy+[tex]y^{2}[/tex])
(x+y)(x+y)+([tex]x^{2}[/tex] -2xy+[tex]y^{2}[/tex])
[tex]x^{2}[/tex]+ xy + xy+[tex]y^{2}[/tex]+[tex]x^{2}[/tex]-2xy+[tex]y^{2}[/tex]
[tex]x^{2}[/tex]+2xy+[tex]y^{2}[/tex]+[tex]x^{2}[/tex]-2xy+[tex]y^{2}[/tex] (cancel 2xy)
The answer is - 2[tex]x^{2}[/tex]+2[tex]y^{2}[/tex]