Simplify the expression below.
4x(3x − 7) − 19x2
A.
-31x2 − 28x
B.
-7x2 − 7
C.
-7x2 − 28x
D.
-35x2
C. -7x2 - 28x
What is the simplest form of this expression?
(x − 4)(x2 + 3x − 5)
A.
x3 + 7x2 − 17x + 20
B.
x3 − x2 − 17x + 20
C.
x3 − x2 − 6x − 20
D.
x3 − x2 + 7x − 20
A. x3 + 7x2 - 17x + 20
To simplify the expression 4x(3x - 7) - 19x², we can distribute the 4x to the terms inside the parentheses:
4x * 3x = 12x²
4x * -7 = -28x
The expression becomes:
12x² - 28x - 19x²
Combine like terms:
12x² - 19x² = -7x²
The simplified expression is:
-7x² - 28x
So the correct answer is C. -7x² - 28x.