How can we write (1+yx)²+(y–x)²=(1+x²)(1+y²) ?

1.	How can we write (1+yx)²+(y–x)²=(1+x²)(1+y²) ?
Answer» Step-by-step explanation: ${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$ ${(1 + yx)}^{2} + (y - x)^{2} = 1 + {y}^{2} {x}^{2} +$ $2xy + {y}^{2} + {x}^{2} - 2xy = >$ Using the above formula we can COME to this conclusion. ${(1 + yx)}^{2} + {(y - x)}^{2} =1 + {y}^{2} {x}^{2} + {y}^2$ $+ {x}^{2} = (1 + {x}^{2}) + {y}^{2}(1 + {x}^{2}) =$ $(1 + {y}^{2})(1 + {x}^{2})$ HENCE proved. HOPE it HELPS you.

Answer»

Step-by-step explanation:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$