Select all expressions that are squares of linear expressions. A x^2+6x+36 ((1)/(2)x+4)^2 C (2d+8)(2d-8) D p^2-6p+9 E x^2+36 F 9x^2-36 F

To determine which expressions are squares of linear expressions, we need to identify expressions that can be written in the form $(ax + b)^2$ or $(cx + d)^2$.<br /><br />Let's analyze each option:<br /><br />A. $x^{2}+6x+36$<br />This expression cannot be written as a square of a linear expression because it does not have the correct form.<br /><br />B. $(\frac {1}{2}x+4)^{2}$<br />This expression is a square of a linear expression because it can be written as $(\frac {1}{2}x+4)^2$.<br /><br />C. $(2d+8)(2d-8)$<br />This expression is not a square of a linear expression because it is a product of two linear expressions, not a square.<br /><br />D. $p^{2}-6p+9$<br />This expression cannot be written as a square of a linear expression because it does not have the correct form.<br /><br />E. $x^{2}+36$<br />This expression cannot be written as a square of a linear expression because it does not have the correct form.<br /><br />F. $9x^{2}-36$<br />This expression cannot be written as a square of a linear expression because it does not have the correct form.<br /><br />Therefore, the only expression that is a square of a linear expression is option B: $(\frac {1}{2}x+4)^{2}$.