Question

решите пожалуйста !!!!!!!!!!очень надо ​

Answer 1

1. а)

${a}^{2} + 6ab + 9 {b}^{2} = {(a + 3b)}^{2}$

б)

$25 {x}^{2} - 10xy + {y}^{2} = {(5x - y)}^{2}$

д)

${a}^{4} + 2 {a}^{2} b + {b}^{2} = {( {a}^{2} + b) }^{2}$

в)

$12x + {x}^{2} + 36 = {x}^{2} + 12x + 36 = {(x + 6)}^{2}$

г)

${p}^{2} - 8pn + 16 {n}^{2} = {(p - 4n)}^{2}$

2. а)

${(x + 5)}^{2} = {x}^{2} + 10x + 25$

б)

${(2x + 9)}^{2} = 4 {x}^{2} + 36x + 81$

в)

${(6 - c)}^{2} = 36 - 12c + {c}^{2}$

г)

${(3a - 2)}^{2} = 9 {a}^{2} - 12a + 4$

д)

${( {c}^{2} - 1) }^{2} = {c}^{4} - 2 {c}^{2} + 1$

е)

${( {x}^{2} + 2 {y}^{2} )}^{2} = {x}^{4} + 4 {x}^{2} {y}^{2} + 4 {y}^{4}$

3. а)

$(a - 3)(a + 3) = {a}^{2} - 9$

б)

$(3x + 2y)(3x - 2y) = (3x - 2y)(3x + 2y) = 9 {x}^{2} - 4 {y}^{2}$

в)

$(3p - c)(c + 3p) = (3p - c)(3p + c) = 9 {p}^{2} - {c}^{2}$