Respuesta :

calculista

we have

[tex](9x^{2}+8x)-(2x^{2}+3x)[/tex]

Step 1

Eliminate the parenthesis

[tex](9x^{2}+8x)-(2x^{2}+3x)=9x^{2}+8x-2x^{2}-3x[/tex]

Step 2

Group terms that contain the same variable

[tex]9x^{2}-2x^{2}+8x-3x[/tex]

Step 3

Combine like terms

[tex]7x^{2}+5x[/tex]

therefore

the answer is

[tex]7x^{2}+5x[/tex]

The difference between polynomials are: 7x² + 5x.

What is Polynomials?

A polynomial is an expression consisting of in determinates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Given polynomials is:

(9x²+8x) - (2x²+3x)

First, multiply the negative sign in the second polynomial

i.e., (9x²+8x) - (2x²+3x)

= 9x²+8x - 2x²-3x

Now, evaluate those terms who have same variables

=  9x²  - 2x² +8x-3x

= 7x² + 5x

Hence, the difference between polynomials are: 7x² + 5x.

Learn more about polynomial here:

https://brainly.com/question/20121808

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