factorise:

(ax+by)2+(bx-ay)2

  • 60

(ax+by)2 +(bx-ay)2

[(ax)2 +2(ax)(by)+ (by)2 ] +[(bx)2-2(bx)(ay) +(ay)2]

a2x2 +2axby+b2y2+b2x2 -2bxay +a2y2

a2x2 + b2y2+b2x2+a2y2

  • 0

a2x2 + b2y2 + 2abxy + b2x

a2x2 + b2y2 + b2x2 + a2y2

a2x2 + a2y2 + b2x2 + b2y2

a2 ( x2 + y2 ) + b ( x2 + y2 )

( a2 + b2 ) ( x2 + y2 )

  • 0

sorry the first step is incomplete and i forgot one more step

(ax + by )2 + ( bx - ay )2

a2x2 + b2y2 + 2abxy + b2x2 + a2y2 - 2abxy

  • -6
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