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(x-7)(x+3) In Expanded Form

less than a minute read Jun 17, 2024
(x-7)(x+3) In Expanded Form

Expanding (x-7)(x+3)

In this article, we will expand the expression (x-7)(x+3) and explain the process.

Understanding the Process

Expanding an expression like this involves using the distributive property of multiplication. This property states that:

  • a(b + c) = ab + ac

We can apply this property twice to expand our expression:

  1. First Distribution: Distribute the (x-7) across the terms inside the second parentheses.

    • (x-7)(x+3) = x(x+3) - 7(x+3)

  2. Second Distribution: Distribute the x and the -7 across the terms in the parentheses.

    • x(x+3) - 7(x+3) = x² + 3x - 7x - 21

  3. Combining Like Terms: Finally, combine the terms with x to get the final expanded form.

    • x² + 3x - 7x - 21 = x² - 4x - 21

The Expanded Form

Therefore, the expanded form of (x-7)(x+3) is x² - 4x - 21.

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