Question
Simplify the following expressions. Be sure to write your simplified expression in descending order
x(8x+2)
x(8x+2)
Answers
GPT-4o mini
To simplify the expression \( x(8x + 2) \), you can use the distributive property, which states that \( a(b + c) = ab + ac \).
So, we apply this to the expression:
\[
x(8x + 2) = x \cdot 8x + x \cdot 2
\]
Calculating each part:
1. \( x \cdot 8x = 8x^2 \)
2. \( x \cdot 2 = 2x \)
Combining these results, we get:
\[
8x^2 + 2x
\]
Now, we write the expression in descending order of the powers of \( x \):
\[
8x^2 + 2x
\]
This is the simplified expression in descending order.
So, we apply this to the expression:
\[
x(8x + 2) = x \cdot 8x + x \cdot 2
\]
Calculating each part:
1. \( x \cdot 8x = 8x^2 \)
2. \( x \cdot 2 = 2x \)
Combining these results, we get:
\[
8x^2 + 2x
\]
Now, we write the expression in descending order of the powers of \( x \):
\[
8x^2 + 2x
\]
This is the simplified expression in descending order.