Math Problem Statement

Distribute minus, 9, left parenthesis, x, plus, 1, right parenthesis, .−9(x+1).

Solution

To distribute the 9-9 over the expression (x+1)(x + 1), apply the distributive property. This involves multiplying 9-9 by each term inside the parentheses:

9(x+1)=9x+(9)1-9(x + 1) = -9 \cdot x + (-9) \cdot 1

Now, simplify:

9(x+1)=9x9-9(x + 1) = -9x - 9

Thus, the expression simplifies to:

9x9-9x - 9

Would you like more details or further explanation on any of the steps?

Here are 5 related questions to expand your understanding:

  1. How do you factor an expression like 9x9-9x - 9 back into its original form?
  2. What is the distributive property in mathematics?
  3. How would this change if the expression were 9(x1)-9(x - 1)?
  4. What happens if we distribute a positive number instead of a negative one?
  5. How does the distributive property apply in real-world scenarios?

Tip: Always remember to distribute the negative sign along with the number when dealing with negative coefficients.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplifying Expressions

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8