Question

1. v(x) = 2(x² - 5)

Explanation:

Assuming the problem is to expand the function \( v(x) = 2(x^2 - 5) \), we can use the distributive property (also known as the distributive law of multiplication over subtraction).

Step 1: Apply the distributive property

The distributive property states that \( a(b - c) = ab - ac \). Here, \( a = 2 \), \( b = x^2 \), and \( c = 5 \). So we multiply 2 with each term inside the parentheses.
\( v(x)=2\times x^{2}-2\times5 \)

Step 2: Simplify the products

Simplify \( 2\times x^{2} \) to \( 2x^{2} \) and \( 2\times5 \) to \( 10 \).
\( v(x) = 2x^{2}-10 \)

Answer:

\( v(x)=2x^{2}-10 \)