985 x y + 350 x 2 + 660 y 2 = 350 x 2 + 985 x y + 66 y 2 = 5 ( 70 x 2 + 197 x y + 132 y 2 ) = 5 ( 70 x 2 + 120 x y + 77 x y + 132 y 2 ) = 5 ( 10 x ( 7 x + 12 y ) + 11 y ( 7 x + 12 y )) = 5 ( 10 x + 11 y ) ( 7 x + 12 y )
To factor 985 x y + 350 x 2 + 660 y 2 by grouping, we started by grouping terms and factoring out the greatest common factors. After rearranging and factoring out the GCF from the grouped terms, we established that further simplification or combinations are necessary, but a final complete factorization was done for clarity. Thus, the expression remains appropriately grouped without further rational simplifications required.
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