Question

What is the factor of 125a³-1000b³

Answer 1

Step-by-step explanation:

$by \: \: \: using \: \: \: the \: \: \: formula \: \: \: \\ \\ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) \\ \\(5a) ^{3} - (10b) ^{3} \\ \\ here \: \: \: a \: = 5a \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: b \: = 10b \\ \\ = (5a - 10b)(( {5a}^{2} ) + 5a \times 10b + ( {10b)}^{2} ) \\ \\ = (5a - 10b)(25 {a}^{2} + 50ab + 100 {b}^{2} )$