Answer
$x^{2}+2x-35$
Work Step by Step
Step 1: Using the FOIL method,
$(x+7)(x-5)=(x)(x)+(x)(-5)+(7)(x)+(7)(-5).$
Step 2: Simplifying, $(x)(x)+(x)(-5)+(7)(x)+(7)(-5)=x^{2}-5x+7x-35.$
Step 3: $x^{2}-5x+7x-35=x^{2}+2x-35$
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