Question

Алгебра А.Н.Шыныбеков Д.А.Шыныбеков СРОЧНО два упражнения

Answer 1

2.64
$1) \: ax + ay = a(x + y) = ax + ay \\ 2) \: mx + nx = x(m + n) = mx + nx \\ 3) \: - xy + 2x = x( - y + 2) = x(2 - y) = 2x - xy \\ 4) \: - 2ab - 3a = - a(2b + 3) = - 2ab - 3a$
$5) \: ac + bc = c(a + b) = ac + bc \\ 6) \: - 10xz + 8yz = 2z( - 5x + 4y) = 2z(4y - 5x) = 8yz - 10xz \\ 7) \: 30a {}^{2} + 15ab = 15a(2a + b) = 30a {}^{2} + 15ab \\ 8) \: 8k {}^{2} + 8kl = 8k(k + l) = 8k {}^{2} + 8kl$

2.65
$1) \: 4a + 3a {}^{2} = a(4 + 3a)\\ 2) \: - 20m + 30n = 10( - 2m + 3n) = 10(3n - 2m)\\ 3) \: 5a {}^{2} - 15a = 5a(a - 3) \\ 4) \: - 6xy + 9y {}^{2} = 3y( - 2x + 3y) = 3y(3y - 2x)$
$5) \: 0.5x {}^{3} - 2.5x = 0.5x(x {}^{2} - 5) \\ 6) \: 8xy - 4y {}^{2} = 4y(2x - y) \\ 7) \: - m {}^{2} n {}^{2} - mn = - mn(mn + 1) \\ 8) \: 18pq {}^{3} - 9q {}^{4} = 9q {}^{3} (2p - q)$