(y-5).jpeg "(x+4)(y-5)")
Expanding the Expression (x+4)(y-5)
The expression (x+4)(y-5) represents the product of two binomials. To simplify this expression, we can use the FOIL method, which stands for:
- First: Multiply the first terms of each binomial.
- Outer: Multiply the outer terms of the binomials.
- Inner: Multiply the inner terms of the binomials.
- Last: Multiply the last terms of each binomial.
Let's apply this to our expression:
1. First: (x) * (y) = xy
2. Outer: (x) * (-5) = -5x
3. Inner: (4) * (y) = 4y
4. Last: (4) * (-5) = -20
Now, we combine all the terms:
(x+4)(y-5) = xy - 5x + 4y - 20
This is the expanded form of the expression (x+4)(y-5).
Important Notes:
- This expression cannot be simplified further as it contains variables with different powers.
- The order of the terms can be rearranged, but the final result will be the same.
- This expanded form can be used for further operations such as substitution, factoring, or solving equations.