(x+4)(x+4) In Standard Form

Jasonbradley

less than a minute read

·

Jun 16, 2024

27

Share

Expanding and Simplifying (x+4)(x+4) to Standard Form

In mathematics, standard form for a quadratic expression is represented as ax² + bx + c, where 'a', 'b', and 'c' are constants. To get the standard form of the expression (x+4)(x+4), we need to expand and simplify it.

Expanding the Expression

We can expand the expression using the FOIL method (First, Outer, Inner, Last).

1. First: x * x = x²
2. Outer: x * 4 = 4x
3. Inner: 4 * x = 4x
4. Last: 4 * 4 = 16

Now, we have: x² + 4x + 4x + 16

Simplifying the Expression

Combine the like terms (4x + 4x):

x² + 8x + 16

Final Result

Therefore, the standard form of (x+4)(x+4) is x² + 8x + 16.