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(x-7)(x+8)

less than a minute read Jun 17, 2024
(x-7)(x+8)

Expanding the Expression (x-7)(x+8)

This article focuses on expanding the expression (x-7)(x+8). We will use the FOIL method to achieve this.

The FOIL Method

FOIL stands for First, Outer, Inner, Last. It's a mnemonic device to help remember the steps involved in multiplying two binomials:

  • 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.

Applying FOIL to (x-7)(x+8)

  1. First: (x) * (x) = x²
  2. Outer: (x) * (8) = 8x
  3. Inner: (-7) * (x) = -7x
  4. Last: (-7) * (8) = -56

Now, combine the results:

x² + 8x - 7x - 56

Finally, simplify by combining like terms:

x² + x - 56

Therefore, the expanded form of (x-7)(x+8) is x² + x - 56.

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