Question

a^6+4a^3-1 find factor

Answer 1

split the middle term

Answer 2

${a}^{6} + 4 {a}^{3} + 4 - 4 - 1 \\ ( { {a}^{3} )}^{2} + 2(2) {a}^{3} + {(2)}^{2} - 5 \\ {( {a}^{3} + 2)}^{2} - ( { \sqrt{5}) }^{2}$
use identity
${a}^{2} - {b}^{2} = (a + b)(a - b) \\ ( {a}^{3} + 2 + \sqrt{5})( {a}^{3} + 2 - \sqrt{5} )$
are the factors.