factorize by grouping method:
(ax+by)square+(bx-ay)square
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(ax+by)²+(bx-ay)²
(ax)²+(by)²+2xyab+(bx)²+(ay)²-2xyab
a²x²+a²y²+b²x²+b²y²
a²(x²+y²)+b²(x²+y²)
(a²+b²)(x²+y²)
(ax)²+(by)²+2xyab+(bx)²+(ay)²-2xyab
a²x²+a²y²+b²x²+b²y²
a²(x²+y²)+b²(x²+y²)
(a²+b²)(x²+y²)
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