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
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