(2x+1)(x-1)
2x²-x-1
To multiply the expression (2x + 1)(x – 1), you can apply the distributive property of multiplication, which is:
a(b + c) = ab + ac
So in this case, you can think of the expression as:
(2x + 1)(x – 1) = 2x(x – 1) + 1(x – 1)
Now you can use the distributive property again to simplify each of these terms:
2x(x – 1) = 2x^2 – 2x
1(x – 1) = x – 1
Putting it all together, you get:
(2x + 1)(x – 1) = 2x^2 – 2x + x – 1
Simplifying further, you can combine the like terms:
(2x + 1)(x – 1) = 2x^2 – x – 1
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