Question

( ax + by ) ² + ( ay - bx )² factories the equation

Answer 1

 ( ax + by ) ²+ ( ay - bx )²                                                                                         = a2x2+2axby+b2y2  + (a2y2 - 2aybx +b2x2)                                                       =  a2x2+2axby+b2y2 +a2y2 - 2aybx + b2x2                                                         =a2x2+b2x2+a2y2+b2y2                                                                                              mark as brainlist...............

Answer 2

HERE YOUR ANSWER:

$( {ax + by)}^{2} + {(ay - by)}^{2} \\ ( {ax}^{2} + {by}^{2} + 2axby) + ( {ay}^{2} + {bx}^{2} - 2aybx$
${ax}^{2} + {by}^{2} + 2axby + {ay}^{2} + {bx}^{2} - 2axby \\ {ax}^{2} + {by}^{2} + {ay}^{2} + {bx}^{2}$
${ax}^{2} + {ay}^{2} + {by}^{2} + {bx}^{2} \\ a{sq.}( {x}^{2} + {y}^{2}) + b{sq.}( {x}^{2} + {y}^{2}) \\ (a{sq.} + b{sq.})( {x}^{2} + {y}^{2})$

HOPE IT HELPS YOU!