Browse · MATH Print → jmc algebra intermediate Problem Simplify (2x−5)(x+7)−(x+5)(2x−1). Solution — click to reveal We expand each product separately: (2x−5)(x+7)=2x(x)+2x(7)−5(x)−5(7)=2x2+14x−5x−35=2x2+9x−35and (x+5)(2x−1)=x(2x)+x(−1)+5(2x)+5(−1)=2x2−x+10x−5=2x2+9x−5.So, we have (2x−5)(x+7)−(x+5)(2x−1)=2x2+9x−35−(2x2+9x−5)=−30. Final answer -30 ← Previous problem Next problem →