Math Problem Statement

-9(-4y+3x-2) remove the parentheses

Solution

To remove the parentheses, you need to distribute the 9-9 across each term inside the parentheses.

The expression is:

9(4y+3x2)-9(-4y + 3x - 2)

Distribute the 9-9 to each term:

9×(4y)=36y-9 \times (-4y) = 36y 9×3x=27x-9 \times 3x = -27x 9×(2)=18-9 \times (-2) = 18

Now, putting it all together:

36y27x+1836y - 27x + 18

So the simplified expression is:

36y27x+1836y - 27x + 18

Would you like to go over any of the steps in more detail, or do you have other questions?

Related questions:

  1. What happens if you factor out the common factor of 9-9 in the expression?
  2. How would you simplify an expression like 5(2x+4y7)5(2x + 4y - 7)?
  3. What is the distributive property, and how is it used in algebra?
  4. Can you simplify expressions with multiple variables like 3a(4b+c5d)3a(4b + c - 5d)?
  5. How do you handle negative signs when distributing across parentheses?

Tip: Always remember to distribute every term inside the parentheses to ensure the equation is fully simplified.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 6-8