(x+5y+3)²=
(x+5y+3).(x+5y+3)=
x.(x+5y+3)+5y.(x+5y+3)+3.(x+5y+3)=
x²+5xy+3x+5xy+25y²+15y+3x+15y+9=
x²+25y²+10xy+6x+30y+9
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= x²+5xy+3x+5xy+25y²+15y+3x+15y+9
= x²+5xy+5xy+3x+3x+25y²+15y+15y+9
= x²+10xy+6x+25y²+30y+9
(x+5y+3)²=
(x+5y+3).(x+5y+3)=
x.(x+5y+3)+5y.(x+5y+3)+3.(x+5y+3)=
x²+5xy+3x+5xy+25y²+15y+3x+15y+9=
x²+25y²+10xy+6x+30y+9