(x+10) 2 As A Trinomial In Standard Form

Jasonbradley

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Jun 16, 2024

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Expanding (x + 10)²: A Trinomial in Standard Form

The expression (x + 10)² represents the square of a binomial. To express it as a trinomial in standard form, we need to expand it.

Expanding the Binomial

The expression (x + 10)² is equivalent to (x + 10) multiplied by itself:

(x + 10)² = (x + 10)(x + 10)

To expand this, we can use the FOIL method:

• First: x * x = x²
• Outer: x * 10 = 10x
• Inner: 10 * x = 10x
• Last: 10 * 10 = 100

Combining the terms, we get:

x² + 10x + 10x + 100

Standard Form

Finally, combine the like terms to write the trinomial in standard form:

x² + 20x + 100

Therefore, the expression (x + 10)² expanded as a trinomial in standard form is x² + 20x + 100.