Question

Factorize a4+3a²b2+b4​

Answer 1

Answer:

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

I hope you understand.