Question Simplify the expression $x(-9-x)$ by distributing the $x$ term.

Studdy Solution

STEP 1

Assumptions
1. We are asked to distribute the expression $x(-9-x)$
2. In mathematics, distribution refers to the distributive property, which states that for all real numbers a, b, and c: $a(b + c) = ab + ac$ and $a(b - c) = ab - ac$

STEP 2

To distribute the expression $x(-9-x)$ , we apply the distributive property. This means we multiply 'x' by each term inside the parentheses.
$x(-9-x) = x \cdot -9 + x \cdot -x$

STEP 3

Now, we perform the multiplication.
$x \cdot -9 + x \cdot -x = -9x - x^2$

STEP 4

However, it is common practice to write polynomial expressions in descending order of their degree. So, we rearrange the terms.
$-9x - x^2 = -x^2 - 9x$
The distributed form of the expression $x(-9-x)$ is $-x^2 - 9x$ .

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