Math Problem Statement

6×( 6 x+5 ​ −5)

Solution

Let's simplify the given expression step by step:

6×(6x+55)6 \times \left( 6x + 5 - 5 \right)

Step 1: Simplify inside the parentheses

Since +5+5 and 5-5 cancel out, the expression inside the parentheses simplifies to:

6x6x

Step 2: Distribute the 6

Now, multiply 66 by 6x6x:

6×6x=36x6 \times 6x = 36x

Final Answer:

36x\mathbf{36x}

Would you like a more detailed explanation or any additional help?

Here are some related questions for practice:

  1. Simplify: 5(4x+33)5(4x + 3 - 3)
  2. Expand: 7(2x5)7(2x - 5)
  3. Solve for xx: 6(3x2)=366(3x - 2) = 36
  4. Factorize: 36x36x
  5. Solve: 6(6x+5)=726(6x + 5) = 72

Tip:

Always simplify inside parentheses before applying distribution!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8