simplify (6y+3y^3+2y^2)-(y^2-2y^3-3y)

Answer 1

To simplify the expression \((6y + 3y^3 + 2y^2) - (y^2 - 2y^3 - 3y)\), follow these steps:

1. Distribute the negative sign across the second set of parentheses: \[ 6y + 3y^3 + 2y^2 - y^2 + 2y^3 + 3y \]

2. Combine like terms:

   • Combine the \(y^3\) terms: \[ 3y^3 + 2y^3 = 5y^3 \]
   • Combine the \(y^2\) terms: \[ 2y^2 - y^2 = y^2 \]
   • Combine the \(y\) terms: \[ 6y + 3y = 9y \]

3. Write the combined expression: \[ 5y^3 + y^2 + 9y \]

Thus, the simplified expression is: \[ \boxed{5y^3 + y^2 + 9y} \]

Answer 2

Is this true or false?
8(6-2)=30

Answer 3

To determine if the statement \( 8(6-2) = 30 \) is true or false, we first need to evaluate the left side of the equation.

1. Calculate the expression inside the parentheses: \[ 6 - 2 = 4 \]

2. Now multiply by 8: \[ 8(4) = 32 \]

Now we can compare the result with the right side of the equation: \[ 32 \neq 30 \]

Thus, the statement \( 8(6-2) = 30 \) is false.