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Prove or Disprove: for All Integers a,b,c,d, if ab and cd, then (a+c)(b+d)a , b , c , d \text {, if } a \mid b \text { and } c \mid d \text {, then } ( a + c ) \mid ( b + d ) \text {. }

Question 57

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Prove or disprove: For all integers a,b,c,d, if ab and cd, then (a+c)(b+d)a , b , c , d \text {, if } a \mid b \text { and } c \mid d \text {, then } ( a + c ) \mid ( b + d ) \text {. }

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