Question

use the distributive property to rewrite the polynomials

(x+4) (x-6)

Answer 1

To use the distributive property to rewrite the expression \((x + 4)(x - 6)\), we can distribute each term in the first polynomial to each term in the second polynomial.

Here's how it works step by step:

1. Distribute \(x\) to both terms in \((x - 6)\):
\[
x \cdot x + x \cdot (-6) = x^2 - 6x
\]

2. Distribute \(4\) to both terms in \((x - 6)\):
\[
4 \cdot x + 4 \cdot (-6) = 4x - 24
\]

3. Now, combine all the terms:
\[
x^2 - 6x + 4x - 24
\]

4. Combine like terms:
\[
x^2 - 2x - 24
\]

So, the result of rewriting the polynomial \((x + 4)(x - 6)\) using the distributive property is:
\[
\boxed{x^2 - 2x - 24}
\]