Question

Factorize x^4 + 4x^2 + 4​

Answer 1

(x^2+2)^2 this is the correct answer

Answer 2

Step-by-step explanation:

${x}^{4} + 4 {x}^{2} + 4= {x}^{4} + (2 + 2){x}^{2} + 4 \\ = {x}^{4} +2 {x}^{2} + 2 {x}^{2} + 4 \\ = {x}^{2} ( {x}^{2} + 2) + 2( {x}^{2} + 2) \\ = ( {x}^{2} + 2)( {x}^{2} + 2) \\ = {( {x}^{2} + 2)}^{2}$