Question

use the distributive property to remove the parentheses.
$-3(-6w + u - 5)$

Explanation:

Step1: Apply distributive property

The distributive property is \(a(b + c + d)=ab+ac + ad\). Here, \(a=-3\), \(b = - 6w\), \(c=u\), \(d=-5\). So we have:
\(-3\times(-6w)+(-3)\times u+(-3)\times(-5)\)

Step2: Calculate each term

• For the first term: \(-3\times(-6w)=18w\) (because multiplying two negative numbers gives a positive number, and \(3\times6 = 18\))
• For the second term: \(-3\times u=-3u\) (multiplying a negative and a positive gives a negative number)
• For the third term: \(-3\times(-5) = 15\) (multiplying two negative numbers gives a positive number, and \(3\times5=15\))

Step3: Combine the terms

Combine the results from step 2: \(18w-3u + 15\)

Answer:

\(18w-3u + 15\)