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Question

Simplify

(9x − 7)(2x − 5) − (3x − 8)(5x − 3)

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Solution

(9x-7)(2x-5)=9x×(2x-5) -7×(2x-5)=18x(1+1) -45x -14x +35=18x2 -59x +35(3x-8)(5x-3)=3x×(5x-3) -8×(5x-3)=15x2 -9x -40x +24=15x2-49x +24 (2x − 5) − (3x − 8)(5x − 3)=18x2 -59x +35 -(15x2-49x +24)=18x2-15x2 -59x +49x +35 -24=3x2 -10x +11

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