Question

rewrite $-15(5x + 6y)$ using distribution.
$\circ$ $-75x - 90y$
$\circ$ $-75x + 90y$
$\circ$ $-75x + 6y$
$\circ$ $-5x - 21y$

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). For \(-15(5x + 6y)\), we distribute \(-15\) to both \(5x\) and \(6y\).
First, multiply \(-15\) and \(5x\): \(-15\times5x=-75x\)

Step2: Multiply \(-15\) and \(6y\)

\(-15\times6y = - 90y\)

Step3: Combine the results

Putting it together, \(-15(5x + 6y)=-75x-90y\)

Answer:

A. \(-75x - 90y\)