Perform the indicated operation or operations. (3x+5)(2x−9)−(7x−2)(x−1)

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First, apply the distributive property (also known as the FOIL method for binomials) to expand each product separately. For the first product, expand \((3x+5)(2x-9)\) by multiplying each term in the first binomial by each term in the second binomial.

Next, expand the second product \((7x-2)(x-1)\) in the same way, multiplying each term in the first binomial by each term in the second binomial.

After expanding both products, write down the full expression with the expanded terms: the result of the first product minus the result of the second product.

Combine like terms by grouping the terms with \(x^2\), the terms with \(x\), and the constant terms separately. This will simplify the expression into a single polynomial.

Finally, write the simplified polynomial expression as your answer, ensuring all like terms are combined and the expression is in standard form (descending powers of \(x\)).

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