(x+4)(x+4) Answer

Suzhoumeite

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Jul 03, 2024

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Expanding the Expression: (x+4)(x+4)

When we multiply two binomials, we need to follow the order of operations (PEMDAS) and multiply each term in the first binomial with each term in the second binomial.

The given expression is: (x+4)(x+4)

To expand this expression, we'll multiply each term in the first binomial with each term in the second binomial.

Step 1: Multiply the First Terms The first terms in both binomials are x. Multiplying them together, we get:

x * x = x^2

Step 2: Multiply the Outer Terms The outer terms are x and 4. Multiplying them together, we get:

x * 4 = 4x

Step 3: Multiply the Inner Terms The inner terms are 4 and x. Multiplying them together, we get:

4 * x = 4x

Step 4: Multiply the Last Terms The last terms in both binomials are 4. Multiplying them together, we get:

4 * 4 = 16

Step 5: Combine the Terms Now, let's combine the terms we've obtained in steps 1-4:

x^2 + 4x + 4x + 16

Simplifying the Expression We can simplify the expression by combining the like terms:

x^2 + 8x + 16

And that's the final answer!

The expanded form of the expression (x+4)(x+4) is x^2 + 8x + 16.