We can use the FOIL method to expand the given expression:
F: (x) times (x) which is x^2
O: (x) times (-2) which is -2x
I: (7) times (x) which is 7x
L: (7) times (-2) which is -14
Putting all of these terms together, we get:
x^2 – 2x + 7x – 14
Simplifying, we get:
x^2 + 5x – 14
Therefore, the expanded form of (x+7)(x-2) is x^2 + 5x – 14.
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