Simplify (x − 4)(2x2 + 3x − 5). 2x3 − 5x2 − 17x + 20 2x3 − 5x2 + 7x − 20 2x3 − 11x2 + 7x − 20 2x3− 11x2 − 17x + 20

Respuesta :

The simplified expression is:

[tex]2x^3-5x^2-17x+20[/tex]

Step-by-step explanation:

Given expression is:

[tex](x-4)(2x^2+3x-5)[/tex]

We have to simplify the expression

Distributive property will be used to simplify the expression.

[tex]=x(2x^2+3x-5) - 4(2x^2+3x-5)\\= 2x^3+3x^2-5x-8x^2-12x+20[/tex]

Combining like terms

[tex]=2x^3+3x^2-8x^2-5x-12x+20\\=2x^3-5x^2-17x+20[/tex]

Hence,

The simplified expression is:

[tex]2x^3-5x^2-17x+20[/tex]

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/10708697
  • brainly.com/question/10710410

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