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Answer 1

$\sqrt{7w}-\sqrt{10g}+\sqrt{7g}-\sqrt{10w}=\sqrt{7}\sqrt{w}-\sqrt{10}\sqrt{g}+\sqrt{7}\sqrt{g}-\sqrt{10}\sqrt{w}=\sqrt{7}(\sqrt{w}+\sqrt{g})-\sqrt{10}(\sqrt{g}+\sqrt{w})=(\sqrt{w}+\sqrt{g})*(\sqrt{7}-\sqrt{10})$