Question

Por favor responda as questões da foto, urgente!!!!​

Answer 1

Resposta:

$1.b) \: {(2y + 3x)}^{2} \\ {(2y)}^{2} + 2 \times 2y \times 3x + {(3x)}^{2} \\ 4 {y}^{2} + 12xy + 9 {x}^{2}$

$c) \: {(5a + 2b)}^{2} \\ {(5a)}^{2} + 2 \times 5a \times 2b + {(2b)}^{2} \\ 25 {a}^{2} + 20ab + 4 {b}^{2}$

$d) \: {(12 - q)}^{2} \\ ( {12)}^{2} - 2 \times 12 \times q + {(q)}^{2} \\ 144 - 24q + {q}^{2} \\ {q}^{2} - 24q + 144$

$e) \: {(3p + 2)}^{2} \\ {(3p)}^{2} + 2 \times 3p \times 2 + {(2)}^{2} \\ 9 {p}^{2} + 12p + 4$

$f) \: {(x - 2y)}^{2} \\ {(x)}^{2} - 2 \times x \times 2y + {(2y)}^{2} \\ {x}^{2} - 4xy + 4 {y}^{2}$

$g) \: {(t - 4)}^{2} \\ {(t)}^{2} - 2 \times t \times 4 + {(4)}^{2} \\ {t}^{2} - 8t + 16$

$2.a) \: \frac{1}{ \sqrt{17} } \times \frac{ \sqrt{17} }{ \sqrt{17} } \\ \\ \frac{1 \sqrt{17} }{ \sqrt{17} \sqrt{17} } \\ \\ \frac{ \sqrt{17} }{17}$

$b) \: \frac{2 \sqrt{3} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ \frac{2 \sqrt{3} \sqrt{2} }{ \sqrt{2} \sqrt{2} } \\ \\ \frac{2 \sqrt{6} }{2} \\ \\ = \sqrt{6}$

$c) \: \frac{3}{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ \\ \frac{3 \sqrt{6} }{ \sqrt{6} \sqrt{6} } \\ \\ \frac{3 \sqrt{6} }{6} \\ \\ = \frac{ \sqrt{6} }{2}$

$d) \: \frac{15 \sqrt{7} }{7 \times \sqrt{3} } \\ \\ \frac{15 \sqrt{7} }{7 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ \frac{15 \sqrt{7} \sqrt{3} }{7 \sqrt{3} \sqrt{3} } \\ \\ \frac{15 \sqrt{21} }{7 \times 3} \\ \\ \frac{15 \sqrt{21} }{21} \\ \\ = \frac{5 \sqrt{21} }{7}$