## Elementary Algebra

$(x+2)^{2}$ = $x^{2}$ + 4x + 4 Recall: $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$ Using this pattern, we expand the left side in order to simplify it. $(x+2)^{2}$ = $x^{2}$ + 2$\times$x$\times$2 + $2^{2}$ = $x^{2}$ + 4x + 4 Since $x^{2}$ + 4x + 4 is indeed equal to $x^{2}$ + 4x + 4, this statement is true.