Question

use the distributive property to remove the parentheses. -3(-y² - 3 + 6y)

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab+ac + ad\). Here, \(a=-3\), \(b=-y^{2}\), \(c = - 3\), \(d = 6y\). So we have:
\(-3\times(-y^{2})+(-3)\times(-3)+(-3)\times(6y)\)

Step2: Simplify each term

• For the first term: \(-3\times(-y^{2}) = 3y^{2}\) (because multiplying two negative numbers gives a positive number)
• For the second term: \(-3\times(-3)=9\) (negative times negative is positive)
• For the third term: \(-3\times(6y)=-18y\) (negative times positive is negative)

Combining these terms, we get \(3y^{2}+9 - 18y\)

Answer:

\(3y^{2}+9 - 18y\)