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Multiply the following polynomials(2x^2+4x-3)(5x-6)

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Answer:
10x^3+14x^2-39x+18Explanations:

The given expression is:


(2x^2+4x-3)\text{ (5x - 6)}

The terms in the first bracket multiply each of the terms in the second bracket one after the other


(2x^2)(5x)-(2x^2)(6)+(4x)(5x)-4x(6)-3(5x)-3(-6)

The expression then becomes:


10x^3-6x^2+20x^2-24x-15x+18

By combining like terms, the final expression then becomes:


10x^3+14x^2-39x+18

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