To expand (2x+1)(x-1), we can use the distributive property of multiplication which states that for any real numbers a, b, and c:
a(b+c) = ab + ac
Applying this to our expression, we get:
(2x+1)(x-1) = 2x(x-1) + 1(x-1)
Now we can simplify by using the distributive property again:
= 2x^2 – 2x + x – 1
= 2x^2 – x – 1
Therefore, (2x+1)(x-1) simplifies to 2x^2 -x -1.
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