Math Problem Statement

7a(a-3ab)

Solution

To simplify the expression 7a(a3ab)7a(a - 3ab), we follow the distributive property, where we multiply 7a7a by each term inside the parentheses:

7a(a3ab)=7aa7a3ab7a(a - 3ab) = 7a \cdot a - 7a \cdot 3ab

Now, simplify each term:

  1. 7aa=7a27a \cdot a = 7a^2
  2. 7a3ab=21a2b7a \cdot 3ab = 21a^2b

Thus, the simplified expression is:

7a221a2b7a^2 - 21a^2b

Would you like further details or have any questions?

Here are 5 related questions for further practice:

  1. Simplify 5x(x2xy)5x(x - 2xy).
  2. Expand and simplify 8m(m4mn)8m(m - 4mn).
  3. Factor 9a236ab9a^2 - 36ab.
  4. Expand and simplify 4x(2x+3xy)4x(2x + 3xy).
  5. Simplify 6p(p5pq)6p(p - 5pq).

Tip: When using the distributive property, always ensure that you multiply each term in the parentheses by the outside term carefully.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

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

Theorems

Distributive Law

Suitable Grade Level

Grades 6-8