Question

simplify the expression using the distributive pr
-2 (8x - 5y + 4z)
show your work here

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab+ac + ad\). For \(-2(8x - 5y+4z)\), we multiply \(-2\) with each term inside the parentheses.
So, \(-2\times8x+(-2)\times(-5y)+(-2)\times4z\)

Step2: Calculate each product

Calculate each term: \(-2\times8x=-16x\), \((-2)\times(-5y) = 10y\), \((-2)\times4z=-8z\)
Combine the terms: \(-16x + 10y-8z\)

Answer:

\(-16x + 10y - 8z\)