Question

Разложить на множители
1. m³-n³
2. 125a³+8b³

Answer 1

1.
${m}^{3} - {n}^{3} = (m - n)( {m}^{2} + mn + {n}^{2} )$
2.
$125 {a}^{3} + 8 {b}^{3} = {(5a)}^{3} + {(2b)}^{3} = (5a + 2b)(25 {a}^{2} - 10ab + 4 {b}^{2} )$