Simplifying an expression using the distributive property ex3, -y(3y + 10)

The video tutorial explains the distributive property, which involves multiplying a number by each term inside parentheses. It provides a step-by-step guide on applying this property, including an example with a negative coefficient. The tutorial concludes with simplifying the resulting expression.

What does the distributive property allow you to do with an expression like a(b + c)?

• Add a to b and c separately

• Divide a by b and c

• Subtract b from c and then multiply by a

• Multiply a by both b and c

How does the distributive property change when dealing with a negative variable?

• It requires division instead of multiplication

• The negative sign is distributed along with the variable

• The negative sign is ignored

• It becomes an addition problem

What is the result of distributing -y across the expression (3y + 10)?

• -3y^2 - 10y

• 3y^2 + 10y

• 3y^2 - 10

• -3y + 10

When simplifying -y * 3y, what is the resulting expression?

• -3y

• 3y^2

• -3y^2

• y^2

What is the simplified form of -y * 10?

• y

• -10y

• 10y

• -10