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(x-4)(x-6) In Standard Form

less than a minute read Jun 17, 2024
(x-4)(x-6) In Standard Form

Expanding (x-4)(x-6) to Standard Form

The expression (x-4)(x-6) is in factored form. To write it in standard form, we need to expand it by multiplying the two binomials.

Using the FOIL Method

The FOIL method is a common technique for expanding binomials. It stands for First, Outer, Inner, Last. Here's how it works:

  1. First: Multiply the first terms of each binomial: x * x = x²
  2. Outer: Multiply the outer terms of the binomials: x * -6 = -6x
  3. Inner: Multiply the inner terms of the binomials: -4 * x = -4x
  4. Last: Multiply the last terms of each binomial: -4 * -6 = 24

Now we have: x² - 6x - 4x + 24

Combining Like Terms

Finally, we combine the like terms (-6x and -4x):

x² - 10x + 24

Therefore, the standard form of (x-4)(x-6) is x² - 10x + 24.

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