(2x+4)(x-4) Answer

2 min read Jun 16, 2024
(2x+4)(x-4) Answer

Expanding the Expression (2x+4)(x-4)

This expression represents the multiplication of two binomials. To solve it, we'll use the FOIL method, which stands for:

  • First: Multiply the first terms of each binomial.
  • Outer: Multiply the outer terms of the binomials.
  • Inner: Multiply the inner terms of the binomials.
  • Last: Multiply the last terms of each binomial.

Let's apply this to our expression:

1. First: 2x * x = 2x² 2. Outer: 2x * -4 = -8x 3. Inner: 4 * x = 4x 4. Last: 4 * -4 = -16

Now we have: 2x² - 8x + 4x - 16

5. Combine like terms: 2x² - 4x - 16

Therefore, the expanded form of (2x+4)(x-4) is 2x² - 4x - 16.

Simplifying the Expression

The expression can be further simplified by factoring out a 2 from each term:

2(x² - 2x - 8)

This represents the simplified form of the expression.

Conclusion

By using the FOIL method and combining like terms, we successfully expanded and simplified the expression (2x+4)(x-4) to 2x² - 4x - 16 or 2(x² - 2x - 8).

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