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(x+2)(x+3) In Standard Form

less than a minute read Jun 16, 2024
(x+2)(x+3) In Standard Form

Expanding and Simplifying (x + 2)(x + 3) into Standard Form

The expression (x + 2)(x + 3) is in factored form. To get it into standard form, which is ax² + bx + c, we need to expand and simplify it.

Using the FOIL Method

The FOIL method (First, Outer, Inner, Last) is a helpful way to multiply binomials.

  1. First: Multiply the first terms of each binomial: x * x = x²
  2. Outer: Multiply the outer terms of the binomials: x * 3 = 3x
  3. Inner: Multiply the inner terms of the binomials: 2 * x = 2x
  4. Last: Multiply the last terms of each binomial: 2 * 3 = 6

This gives us: x² + 3x + 2x + 6

Simplifying the Expression

Now, combine the like terms:

x² + 5x + 6

This is the standard form of the expression (x + 2)(x + 3).

In summary,

(x + 2)(x + 3) = x² + 5x + 6

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