Simplify the expression.
(2k+3)(k-1)
A) 2k²+k-3
B) 2k²+k+2
C) 2k-k-3
D) 2k²-k+2
D) 2k² - k + 2
To simplify the expression (2k+3)(k-1), we can use the distributive property.
First, multiply 2k by each term inside the second parentheses:
2k * k = 2k²
2k * -1 = -2k
Next, multiply 3 by each term inside the second parentheses:
3 * k = 3k
3 * -1 = -3
Combine the like terms:
(2k² - 2k) + (3k - 3)
Simplifying further, we have:
2k² - 2k + 3k - 3
Combining like terms, we get:
2k² + k - 3
Therefore, the simplified expression is A) 2k² + k - 3.