Math Problem Statement

Simplify the expression 10(10x + 7y - 6) using the distributive property.

Solution

The expression from the image is:

10(10x+7y6)10(10x + 7y - 6)

To simplify this expression using the distributive property, we multiply each term inside the parentheses by 10:

10×(10x+7y6)=(10×10x)+(10×7y)+(10×6)10 \times (10x + 7y - 6) = (10 \times 10x) + (10 \times 7y) + (10 \times -6)

Now, performing the multiplication:

100x+70y60100x + 70y - 60

So, the simplified expression is:

100x+70y60100x + 70y - 60

Would you like further details or have any questions?

Here are five related questions to deepen understanding:

  1. How do you apply the distributive property to more complex expressions?
  2. What happens if there are fractions inside the parentheses?
  3. How does the distributive property work when the outside term is negative?
  4. Can the distributive property be used in reverse (factoring)?
  5. How would you apply the distributive property to an expression with more than three terms inside the parentheses?

Tip: Always distribute carefully, keeping track of signs (positive or negative) when applying the distributive property.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8