Question

Помогите пожалуйста
Буду очень благодарен!

Answer 1

1.

a)

${2a}^{2} - {7b}^{2} = ( \sqrt{2} a - \sqrt{7} b)( \sqrt{2} a + \sqrt{7} b)$

б)

${(2a - 7b)}^{2} = {4a}^{2} - 28ab + {49b}^{2}$

2.

a)

$(a - c)(a + c) = {a}^{2} - {c}^{2}$

б)

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

в)

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

3.

a)

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

б)

$(5x + 1)(5x - 1) = {25x}^{2} - 1$

в)

$( {c}^{5} - 3b)(3b + {c}^{5} ) = {c}^{10} - {9b}^{2}$

г)

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

4.

a)

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

б)

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