Questions: Expand. (y-5)(y+4)=

Transcript text: Expand. \[ (y-5)(y+4)= \]

Solution

To solve the given questions, we need to perform algebraic expansion and basic arithmetic operations.

Step 1: Expand the Expression

To expand the expression \((y-5)(y+4)\), we apply the distributive property (FOIL method): \[ (y-5)(y+4) = y^2 + 4y - 5y - 20 = y^2 - y - 20 \]

Step 2: Calculate the Product

Next, we calculate the product of \(-5\) and \(4\): \[ (-5)(4) = -20 \]

Step 3: Calculate the Sum

Finally, we find the sum of \(-5\) and \(4\): \[ -5 + 4 = -1 \]

The results are:

Thus, the final answers are: \[ \boxed{y^2 - y - 20}, \quad \boxed{-20}, \quad \boxed{-1} \]

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