Question

factories:a³+8=(a+2) (______) ​

Answer 1

${a}^{3} + 8 = {a}^{3} + {2}^{3}$

Using the Identity,

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

So,

${a}^{3} + {2}^{3} = (a + 2)( {a}^{2} + {2}^{2} - a \times 2) \\ = (a + 2)( {a}^{2} + 4 - 2a)$