Question

use the distributive property to remove the parentheses. -6(-3v+4u-1)

Explanation:

Step1: Apply distributive property

The distributive property is \(a(b + c + d)=ab+ac + ad\). Here, \(a=-6\), \(b = - 3v\), \(c = 4u\), \(d=-1\). So we have:
\(-6\times(-3v)+(-6)\times(4u)+(-6)\times(-1)\)

Step2: Calculate each term

Calculate each product:
\(-6\times(-3v)=18v\), \(-6\times(4u)=-24u\), \(-6\times(-1) = 6\)

Step3: Combine the terms

Combine the calculated terms: \(18v-24u + 6\)

Answer:

\(18v - 24u + 6\)