## Algebra: A Combined Approach (4th Edition)

$x^{2}+2x-35$
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: $x^{2}-5x+7x-35=x^{2}+2x-35$