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Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
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Lhannearaujoidn

The equation -10x + 34 is the simplification for the given expression.

Addition Sign Rules

Here it is important to remember the rules for the  addition of integers numbers:

+  +   Add  Final result (+)  

-   -   Add  Final result (-)  

+  -   Subtract  Final result (the sign of the integer having a greater value )

-   +  Subtract  Final result (the sign of the integer having a greater value )

Multiplication Sign Rules

The rules for multiplication of numbers are:

  • +  +  or  -   -

     The result presents a positive sign (+) because the signs are same.

  • +  - or   -   +

    The result presents a negative sign (-) because the signs are different.

First, you should apply the distributive property and the multiplication sign rules.

(x-4)(x-7) + (3-x)(2+x)

x²-7x-4x+28+6+3x-2x-x²

After that, you should simplify the previous result from addition or subtraction sign rules.

x²-11x+34+x-x²

-10x + 34

Read more about the distributive property here:

https://brainly.com/question/2807928

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