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5x to the 3rd power y+35x to the 2nd power y+50xy=

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5x^3y+35x^2y+50xy=(5xy)(x^2)+(5xy)(7x)+(5xy)(10)\\\\=5xy(x^2+7x+10)=5xy(x^2+5x+2x+10)\\\\=5xy[x(x+5)+2(x+5)]=5xy(x+5)(x+2)

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