Question

(2x-1)2+(2x+1)2 solve ​

Answer 1

Step-by-step explanation:

(2x-1)²+(2x+1)²

${x}^{2} + {y}^{2} = {(x + y)}^{2} - 2xy (identity) \\ = (2x - 1 + 2x + 1) {}^{2} - 2(2x-1) (2x+1) \\ = ( {4x)}^{2} - 2 \times ({(2x)}^{2} - ({1})^{2} )\\ \\ = 16 {x}^{2} - 2(4 {x}^{2} - 1) \\ = 16 {x}^{2} - 8 {x}^{2} + 2 \\ = 8 {x}^{2} + 2 \\ = 2(4 {x}^{2} + 1)$