[tex]1) {(x - 2)}^{2} = {x}^{2} - 2 \times x \times 2 + {2}^{2} [/tex]
[tex] = {x}^{2} - 4x + 4[/tex]
[tex]2) {(y + 6)}^{2} = {y}^{2} + 2 \times y \times 6 + {6}^{2} [/tex]
[tex] = {y}^{2} + 12y + 36[/tex]
[tex]3) {( \sqrt{3} + 1)}^{2} = {( \sqrt{3} )}^{2} + 2 \times \sqrt{3} \times 1 + {1}^{2} [/tex]
[tex] = 3 + 2 \sqrt{3} + 1[/tex]
[tex] = 4 + 2 \sqrt{3} [/tex]
[tex] = 2(2 + \sqrt{3} )[/tex]
[tex]4) {( \frac{3}{2} + 2b) }^{2} = {( \frac{3}{2}) }^{2} + 2 \times \frac{3}{2} \times 2b + {(2b)}^{2} [/tex]
[tex] = \frac{ {3}^{2} }{ {2}^{2} } + \frac{2 \times 3 \times 2b}{2} + 4 {b}^{2} [/tex]
[tex] = \frac{9}{4} + 6b + 4 {b}^{2} [/tex]
[tex] = \frac{9}{4} + \frac{24b}{4} + \frac{16b^{2} }{4} [/tex]
[tex] = \frac{9 + 24b + {16b}^{2} }{4} [/tex]
