Answer:
Answer the three options result in a perfect square trinomial are:
(xy+x)*(xy+x)
(2x-3)*(-3+2x)
([tex](4x^{2} +25)*(25+4x^{2})[/tex]
Step-by-step explanation:
Notice the trinomial square
[tex](xy+x)*(xy+x)\\(xy*xy)+(xy*x)+(x*xy)+(x*x)\\x^{2} *y^{2} +2x^{2} y+x^{2}[/tex]
[tex](2x-3)*(-3+2x)\\(2x*-3)+(2x*2x)+(-3*2x)+(-3*-3)\\4x^{2} -12x+9[/tex]
[tex](4x^{2}+25)*(25+4x^{2} )\\ (4x^{2}*25)+(25*25)+(4x^{2}*4x^{2} )+(4x^{2} *25)\\16x^{4} +100x^{2} +625[/tex]
Notice all function has the form
[tex]a^{2} +2*a*b +b^{2}[/tex]
