Question

ДОПОМОЖІТЬ БУДЬ ЛАСКА !!!!!!!!!!!!!!!!!!!

Answer 1

$1.$

$1) \: \: \: \: \: (5m + 4n)(4n - 5m) = 16 {n}^{2} - 25 {m}^{2}$

$2) \: \: \: \: \: ( {9a}^{2} - \frac{1}{2} {m}^{3} c)( {9a}^{2} + \frac{1}{2} {m}^{3} c) = 81 {a}^{4} - \frac{1}{4} {m}^{6} {c}^{2}$

$3) \: \: \: \: \: (7x - 3y {)}^{2} = 7 {x}^{2} - 42xy + 9 {y}^{2}$

$4) \: \: \: \: \: (1.25 {a}^{2} + 8b {)}^{2} = 1.5625 {a}^{4} + 64 {b}^{2}$

$2.$

$1) \: \: \: \: \: 36 {a}^{2} - 49 {b}^{2} = (6a - 7b)(6a + 7b)$

$2) \: \: \: \: \: {x}^{2} - 8xy + 16 {y}^{2} = (x - 4y {)}^{2}$

$3.$

$1) \: \: \: \: \: 1000 - {m}^{3} = (10 - m)(100 + 10m + {m}^{2} )$

$2) \: \: \: \: \: \frac{1}{8} + {8c}^{6} = ( \frac{1}{2} + 2 {c}^{2} )( \frac{1}{4} - {c}^{2} + 4 {c}^{4} )$

$4.$

$1) \: \: \: \: \: 5 {a}^{5} {b}^{3} - 40 {a}^{2} {b}^{6} = 5 {a}^{2} {b}^{3} ( {a}^{3} - 8 {b}^{3} ) = 5 {a}^{2} {b}^{3} (a - 2b)( {a}^{2} + 2ab + 4 {b}^{2} )$

$2) \: \: \: \: \: {a}^{2} - {b}^{2} + a + b = (a - b)(a + b) + (a + b) = (a + b)(a - b + 1)$