Answer:
x^2 + 3x - 10
Explanation:
Use the FOIL Method to distribute the terms into each other:
- F - Multiply first terms
- O - Multiply Outside terms
- I - Multiple Inside terms
- L - Multiply Last terms
In (x + 5)(x - 2):
- First terms: x and x;
- x(x) = x^2
- Outside terms: x and -2;
- x(-2) = -2x
- Inside terms: 5 and x;
- x(5) = 5x
- Last terms: 5 and -2;
- 5(-2) = -10
- Result: x^2 -2x + 5x + 10
Now simplify by combining like-terms:
- x^2 - 2x + 5x +10 = x^2 + 3x - 10