Simplify the expression (4x − 3)(x + 5).
A.
4x2 − 17x + 15
B.
4x2 + 17x + 15
C.
4x2 + 17x − 15
D.
4x2 − 17x − 15
A. 4x2 − 17x + 15
To simplify the expression (4x − 3)(x + 5), we can use the distributive property to multiply the terms:
(4x − 3)(x + 5) = 4x(x) + 4x(5) - 3(x) - 3(5)
First, let's simplify each term:
4x(x) = 4x^2
4x(5) = 20x
-3(x) = -3x
-3(5) = -15
Putting it all together, we have:
4x^2 + 20x - 3x - 15.
Combining like terms:
4x^2 + 17x - 15.
Therefore, the simplified expression is 4x^2 + 17x - 15.
The correct answer is C. 4x^2 + 17x − 15.