(x+6)2 Answer

Jasonbradley

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Jun 17, 2024

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Understanding (x + 6)^2

The expression (x + 6)^2 represents the square of the binomial (x + 6). This means we're multiplying the binomial by itself.

Here's how to expand and simplify it:

1. Write out the multiplication: (x + 6)^2 = (x + 6)(x + 6)

2. Apply the distributive property (FOIL):

   • First: x * x = x^2
   • Outer: x * 6 = 6x
   • Inner: 6 * x = 6x
   • Last: 6 * 6 = 36

3. Combine like terms: x^2 + 6x + 6x + 36 = x^2 + 12x + 36

Therefore, the expanded form of (x + 6)^2 is x^2 + 12x + 36.

Key Points to Remember:

• Squaring a binomial: Always remember to multiply the binomial by itself.
• FOIL method: A useful tool for expanding binomials.
• Combining like terms: Essential for simplifying the final expression.

Understanding the expansion of (x + 6)^2 is crucial for various algebraic operations and solving equations.