Question

Use a horizontal format to add or subtract. $$12-\left(y^{3}+4\right)$$

Short answer

The simplified form of the given expression is \(8 - y^{3}\).

Step-by-step solution

Identify the Operation

In this problem, the operation to be performed is subtraction. Identify the expression within the parentheses, which is \(y^{3} + 4\).

Distribute Sign Across Brackets

When the minus sign is distributed across the parentheses, the problem simplifies to \(12 - y^{3} - 4\). Keep in mind that the plus between \(y^{3}\) and 4 becomes a minus when it goes outside the parentheses.

Perform the subtraction

Now, subtract 4 from 12, leaving the equation as \(8 - y^{3}\).