Math Problem Statement

a2(a + 4)

Solution

To simplify the expression a2(a+4)a^2(a + 4), you need to distribute a2a^2 across each term inside the parentheses.

a2(a+4)=a2a+a24a^2(a + 4) = a^2 \cdot a + a^2 \cdot 4

Now, multiply:

a2a=a3a^2 \cdot a = a^3 a24=4a2a^2 \cdot 4 = 4a^2

So, the simplified expression is:

a3+4a2a^3 + 4a^2

Would you like more details or have any questions?


Here are 8 related questions to explore further:

  1. How would you factor the expression a3+4a2a^3 + 4a^2?
  2. What happens if you substitute a=3a = 3 into the simplified expression?
  3. How would you differentiate the expression a3+4a2a^3 + 4a^2 with respect to aa?
  4. What is the degree of the polynomial a3+4a2a^3 + 4a^2?
  5. How would the expression change if the coefficient 44 were replaced with another number?
  6. Can you factor out a2a^2 from the original expression in a different way?
  7. What is the sum of the coefficients in the simplified expression?
  8. How does the expression a2(a+4)a^2(a + 4) relate to the distributive property?

Tip: When multiplying terms, remember that the exponents of like bases are added together.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Distributive Property

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9