Answer
$(x+y+5)^2=x^2+2xy+y^2+10x+10y+25$.
Work Step by Step
The given expression is
$(x+y+5)^2$
Use the algebraic identity
$(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca$
We have $a=x,b=y$ and $c=5$.
The expression will be.
$(x+y+5)^2=x^2+y^2+5^2+2(x)(y)+2(y)(5)+2(5)(x)$
Simplify.
$(x+y+5)^2=x^2+y^2+25+2xy+10y+10x$
Rearrange.
$(x+y+5)^2=x^2+2xy+y^2+10x+10y+25$.
