Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please!

Sagot :

lhannearaujo

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.