Respuesta :

carlosego

Answer: option D.

Step-by-step explanation:

To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

[tex]b^m*b^n=b^{(m+n)}[/tex]

- Add the like terms.

Therefore, you obtain that the product is:

[tex](2x^2+5x-3)(3x+7)=6x^3+14x^2+15x^2+35x-9x-21\\=6x^3+29x^2+26x-21[/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. The product of (2x²+5x-3) and (3x+7) is 6x³ + 29x² + 26x - 21.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The product of (2x²+5x-3) and (3x+7) can be done as,

(2x²+5x-3) × (3x+7)

= 3x(2x²+5x-3) + 7(2x²+5x-3)

= 6x³ + 15x² - 9x + 14x² + 35x - 21

= 6x³ + 29x² + 26x - 21

Hence, the product of (2x²+5x-3) and (3x+7) is 6x³ + 29x² + 26x - 21.

Learn more about Expression:

https://brainly.com/question/13947055

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