Math Problem Statement

(a+b)^2

Solution

To expand the expression (a+b)2(a + b)^2, we use the binomial theorem:

(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2

Here's a step-by-step breakdown:

  1. Square the first term: a2a^2.
  2. Multiply the first and second terms, then double it: 2ab2ab.
  3. Square the second term: b2b^2.

Therefore, (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2.

Would you like more details or have any questions about this?

Here are some related questions you might find interesting:

  1. How do you expand (ab)2(a - b)^2?
  2. What is the expansion of (2a+3b)2(2a + 3b)^2?
  3. How do you factor a2+2ab+b2a^2 + 2ab + b^2?
  4. What is the binomial theorem?
  5. How do you expand (a+b+c)2(a + b + c)^2?

Tip: When expanding binomials, always remember to apply the distributive property (also known as the FOIL method for binomials).

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Math Problem Analysis

Mathematical Concepts

Algebra
Binomial Theorem

Formulas

(a + b)^2 = a^2 + 2ab + b^2

Theorems

Binomial Theorem

Suitable Grade Level

Grades 9-12